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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lie algebras; Ring of invariants; Geometric invariant theory P. Levy, Involutions of reductive Lie algebras in positive characteristic, Adv. Math. 210 (2007), no. 2, 505--559. Modular Lie (super)algebras, Other algebraic groups (geometric aspects) Involutions of reductive Lie algebras in positive characteristic
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces near weight functions; two well-agreeing near weights; AG codes; semigroups; valuations Muñuera C., Torres F.: The structure of algebras admitting well agreeing near weights. J. Pure Appl. Algebra 212(4), 910--918 (2008) Geometric methods (including applications of algebraic geometry) applied to coding theory, Valuations and their generalizations for commutative rings, Applications to coding theory and cryptography of arithmetic geometry The structure of algebras admitting well-agreeing near weights
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cocommutative Hopf algebras; finite algebraic groups; infinitesimal subgroups; uniserial groups; finite representation type Farnsteiner, R., Voigt, D.: On cocommutative Hopf algebras of finite representation type. Adv. Math. 155, 1--22 (2000) Group schemes, Representation type (finite, tame, wild, etc.) of associative algebras, Representation theory for linear algebraic groups, Quantum groups (quantized enveloping algebras) and related deformations On cocommutative Hopf algebras of finite representation type
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Homogeneous spaces; spherical varieties; Luna-Vust theory D. Timashev: \textit{Homogeneous Spaces and Equivariant Embeddings}, Enc. of Math. Sc. 138, Springer, Heidelberg et al. (2011). Group actions on varieties or schemes (quotients), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations Homogeneous spaces and equivariant embeddings
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Applications of methods of algebraic \(K\)-theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Sheaves in algebraic geometry Symmetric quotient stacks and Heisenberg actions
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(K\)-theory; string theory; dualities; crossed products; mirror symmetry Jonathan Rosenberg, \textit{Topology, C*-Algebras, and String Duality} (CBMS Regional Conference Series in Mathematics, vol. 111, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the Amer. Math. Soc., Providence, RI, 2009). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Noncommutative geometry methods in quantum field theory, \(K\)-theory and operator algebras, \(K\)-theory and operator algebras (including cyclic theory), Noncommutative geometry (à la Connes), Fiber bundles in algebraic topology, Homotopy functors in algebraic topology, Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory, Calabi-Yau manifolds (algebro-geometric aspects), Applications of differential geometry to physics Topology, \(C^*\)-algebras, and string duality
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Picard group; weight structure; mixed motives; motivic spectra; noncommutative mixed motives; symmetric ring spectra; noncommutative algebraic geometry Bondarko, Mikhail; Tabuada, Gonçalo, Picard groups, weight structures, and (noncommutative) mixed motives, Doc. Math., 22, 45-66, (2017) Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.) Picard groups, weight structures, and (noncommutative) mixed motives
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces toric noncommutative manifold; noncommutative gauge theory; noncommutative instanton; twisted infinitesimal conformal symmetry Landi, Giovanni, Examples of noncommutative instantons, (Geometric and topological methods for quantum field theory, Contemp. math., vol. 434, (2007), Amer. Math. Soc. Providence, RI), 39-72 Noncommutative geometry (à la Connes), Quantum groups (quantized enveloping algebras) and related deformations, Yang-Mills and other gauge theories in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Examples of noncommutative instantons
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces DOI: 10.1307/mmj/1049832900 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Classical problems, Schubert calculus On parameter spaces for Artin level algebras.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative tori; fundamental group; semistable bundles Mahanta, S.; Suijlekom, W.D., Noncommutative tori and the Riemann-Hilbert correspondence, J. Noncommut. Geom., 3, 261-287, (2009) Noncommutative geometry (à la Connes), Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain, Noncommutative algebraic geometry, Holomorphic bundles and generalizations Noncommutative tori and the Riemann-Hilbert correspondence
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gorenstein algebras; unimodal \(h\)-sequences; Hilbert series; graded ring; linkage class of a complete intersection Beintema, M. B.: Gorenstein algebras with unimodal h-sequences. Comm. algebra 20, 979-997 (1992) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Graded rings, Linkage, complete intersections and determinantal ideals, Linkage Gorenstein algebras with unimodal \(h\)-sequences
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadratic algebras; braid algebra; braid group A. N. Kirillov, On some quadratic algebras, L. D. Faddeev's Seminar on Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, vol. 201, Amer. Math. Soc., Providence, RI, 2000, pp. 91 -- 113. Grassmannians, Schubert varieties, flag manifolds On some quadratic algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(W\)-algebra; Hecke algebra; AGT conjecture; gauge theory; equivariant cohomology; Hecke correspondence; Heisenberg subalgebra; Virasoro subalgebra; Sekiguchi operators O. Schiffmann and E. Vasserot, \textit{Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on A}2, arXiv:1202.2756. Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bellamy, G., Symplectic reflection algebras, (Noncommutative algebraic geometry, Mathematical sciences research institute publications, (2016), Cambridge University Press), 167-224 Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects), Representations of quivers and partially ordered sets, Noncommutative algebraic geometry Symplectic reflection algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces pfaffians; Betti numbers; plethysm formulas; determinantal ideal; syzygy; characteristic; minimal free resolution Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Exterior algebra, Grassmann algebras, Determinantal varieties, Endomorphism rings; matrix rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure Resolution of determinantal ideals -- counterexamples on generic symmetric matrices
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces big commuting variety; instanton bundles; Hessian; nets of quadrics [Tyu]Tyurin, A.N.,The structure of the variety of pairs of commuting pencils of symmetric matrices, English traslation, Math. USSR Izvestiya,20 (1983), 391--410. Projective techniques in algebraic geometry, Pencils, nets, webs in algebraic geometry, Special algebraic curves and curves of low genus The structure of the variety of pairs of commuting pencils of symmetric matrices
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Higgs algebra; Hahn algebra; Howe duality; commutant; singular oscillator; dimensional reduction Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Compactifications; symmetric and spherical varieties, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) The Higgs and Hahn algebras from a Howe duality perspective
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Littlewood-Richardson rules; reflection functors; Schur modules; Euclidean quivers; algebras of semi-invariants; complete intersections; Cauchy formula; weight spaces; determinants; affine spaces Skowroński, A.; Weyman, J., Semi-invariants of quivers, Transform. Groups, 5, 361-402, (2000) Representations of quivers and partially ordered sets, Actions of groups on commutative rings; invariant theory, Algebraic moduli problems, moduli of vector bundles, Representation theory for linear algebraic groups, Trace rings and invariant theory (associative rings and algebras), Actions of groups and semigroups; invariant theory (associative rings and algebras), Geometric invariant theory, Representation type (finite, tame, wild, etc.) of associative algebras The algebras of semi-invariants of quivers
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadratic algebras; Hopf algebras; cohomology of flag manifolds; twisted group algebras; graded algebras; tensor products Fomin, S; Procesi, C, Fibered quadratic Hopf algebras related to Schubert calculus, J. Algebra, 230, 174-183, (2000) Quadratic and Koszul algebras, Twisted and skew group rings, crossed products, Graded rings and modules (associative rings and algebras), Grassmannians, Schubert varieties, flag manifolds Fibered quadratic Hopf algebras related to Schubert calculus
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces blow-up algebras; determinantal ideal; Gröbner basis; quadratic and Koszul algebra; Cohen-Macaulay algebra; liaison; vertex-decomposability; Hilbert function; Castelnuovo-Mumford regularity; Ferrers and threshold graphs; skew shapes; reductions Corso, A.; Nagel, U.; Petrović, S.; Yuen, C., Blow-up algebras, determinantal ideals, and Dedekind-mertens-like formulas, Forum Math., 29, 799-830, (2017) Linkage, complete intersections and determinantal ideals, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Toric varieties, Newton polyhedra, Okounkov bodies, Quadratic and Koszul algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Combinatorial aspects of commutative algebra, Combinatorial aspects of simplicial complexes Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces numerical semigroups; canonical bases; polynomial curves; Kähler differentials Computational aspects of algebraic curves, Singularities of curves, local rings, Plane and space curves, Formal power series rings, Arithmetic theory of semigroups, Commutative semigroups, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Canonical bases of modules over one dimensional \(\mathbf{K}\)-algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces derived category; non-commutative crepant resolution; flop; tilting bundle Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry On the Abuaf-Ueda flop via non-commutative crepant resolutions
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Springer correspondece; Kato's exotic nilpotent cone; intersection cohomology; exotic character sheaves T. Shoji, K. Sorlin, \textit{Exotic symmetric space over a finite field,} I, Transform. Groups \textbf{18} (2013), 877-929. Classical groups (algebro-geometric aspects), Representation theory for linear algebraic groups, Linear algebraic groups over finite fields Exotic symmetric space over a finite field. I
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cherednik algebra; Hilbert scheme; characteristic varieties Ginzburg V., Gordon I., Stafford T.: Differential operators and Cherednik algebras. Selecta Math. (N.S.) 14(3-4), 629--666 (2009) Parametrization (Chow and Hilbert schemes), Modifications; resolution of singularities (complex-analytic aspects), Deformations of associative rings, Module categories in associative algebras, Combinatorial aspects of representation theory, Noncommutative algebraic geometry Differential operators and Cherednik algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces matrix polynomials; positivstellensätze; Newton polyhedra; nondegeneracy Real algebraic sets, Sums of squares and representations by other particular quadratic forms, Real algebra, Convex sets and cones of operators, Free algebras, Approximation by polynomials, Semialgebraic sets and related spaces A note on nondegenerate matrix polynomials
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometric invariant theory; categorical quotient; Mori theory V. Batyrev and F. Haddad, On the geometry of \(\text\textrm{SL}(2)\) -equivariant flips, Mosc. Math. J. 8 (2008), 621-646, 846. Geometric invariant theory, Group actions on varieties or schemes (quotients), Minimal model program (Mori theory, extremal rays) On the geometry of \(SL(2)\)-equivariant flips
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equimultiple prime ideal; Rees ring; complete intersection; Cohen- Macaulayness Herrmann, M., Ribbe, J. and Trung, N.V.: Rees algebras of non-singular equimultiple prime ideals. Nagoya Math. J., to appear Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Ideals and multiplicative ideal theory in commutative rings, Complete intersections, Linkage, complete intersections and determinantal ideals Rees algebras of non-singular equimultiple prime ideals
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces universal deformation; versal deformations; obstructions; Lie algebra of polynomial vector fields Fialowski, A.; Fuchs, D., Construction of miniversal deformations of Lie algebras, \textit{J. Funct. Anal.}, 161, 1, 76-110, (1999) Cohomology of Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Homological methods in Lie (super)algebras, Formal methods and deformations in algebraic geometry Construction of miniversal deformations of Lie algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fourier-Mukai transforms; derived categories; equivariant sheaves; 1-motives; commutative group schemes; abelian varieties; \(D\)-modules; formal groupoids A. Polishchuk, Kernel algebras and generalized Fourier-Mukai transforms. J. Noncom- mut. Geom. 5 (2011), 153-251. Noncommutative algebraic geometry, Algebraic theory of abelian varieties Kernel algebras and generalized Fourier-Mukai transforms
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hochschild cohomology; \(G\)-equivariant matrix factorizations; \(G\)-equivariant Jacobian algebra Mirror symmetry (algebro-geometric aspects), Singularities in algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces character sheaves; exotic symmetric space; intersection cohomology; double partitions T. Shoji, K. Sorlin, \textit{Exotic symmetric space over a finite field, III}, Transform. Groups \textbf{19} (2014), 1149-1198. Compactifications; symmetric and spherical varieties, Positive characteristic ground fields in algebraic geometry Exotic symmetric space over a finite field. III
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebra of invariants; coadjoint representation; contraction; Richardson orbit Panyushev, DI; Yakimova, O, Parabolic contractions of semisimple Lie algebras and their invariants, Selecta Math., 19, 699-717, (2013) Actions of groups on commutative rings; invariant theory, Group actions on varieties or schemes (quotients), Coadjoint orbits; nilpotent varieties, Lie algebras of linear algebraic groups Parabolic contractions of semisimple Lie algebras and their invariants
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hochschild cohomology; Batalin-Vilkovisky algebra; Van den Bergh duality; generalized Weyl algebra (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Duality in applied homological algebra and category theory (aspects of algebraic topology) Batalin-Vilkovisky algebra structures on Hochschild cohomology of generalized Weyl algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces matrix Riemann problems Dmitrieva, Factorization of noncommutative permutation matrices on an algebraic surface of nonzero genus, St. Petersburg Math. J. 4 (2) pp 309-- (1993) Boundary value problems in the complex plane, Surfaces and higher-dimensional varieties, Riemann surfaces Factorization of noncommutative permutation matrices on an algebraic surface of nonzero genus
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Schubert polynomials; nilCoxeter algebra; reduced decomposition S. Fomin and R. P. Stanley. ''Schubert polynomials and the NilCoxeter algebra''. Adv. Math. 103(1994), pp. 196--207.DOI. Symmetric functions and generalizations, Representations of finite symmetric groups, Grassmannians, Schubert varieties, flag manifolds, Combinatorial identities, bijective combinatorics Schubert polynomials and the nilCoxeter algebra
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Banach algebras of differentiable functions; homogeneous algebras of functions; classification up to a global isomorphism Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Banach algebras of continuous functions, function algebras, Families, moduli of curves (analytic) Isomorphisms of homogeneous function algebras on the torus
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric space; homogeneous varieties; algebraic curves; genus 9; \(K3\) surfaces Mukai, S.: Curves and symmetric spaces, II. Ann. Math. (2) \textbf{172}(3), 1539-1558 (2010) Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus Curves and symmetric spaces. II.
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative algebra; bi-flat epimorphism; Grothendieck topology; free products; \(\mathcal F\)-étale; flaky homomorphism; sheaf; representation functor; localizations; affine scheme Grothendieck topologies and Grothendieck topoi, Étale and other Grothendieck topologies and (co)homologies, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Noncommutative algebraic geometry A Grothendieck topology on a subcategory of opposite category of non commutative algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Clifford algebra; generalized Clifford algebra; irreducible factors; representations; generators; relations; affine coordinate ring; hyperelliptic curve; Azumaya algebra; Picard group; desingularization; Brauer group D. Haile and S. Tesser, On Azumaya algebras arising from Clifford algebras, Journal of Algebra 116 (1988), 372--384. Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Clifford algebras, spinors, Brauer groups of schemes On Azumaya algebras arising from Clifford algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces associative dialgebras; group actions; equivariant cohomology; formal deformations (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Formal methods and deformations in algebraic geometry Equivariant associative dialgebras and its one-parameter formal deformations
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces reductive group; Tits algebra; cohomological invariant C. Junkins, The \(J\)-invariant and Tits algebras for groups of inner type \(\mathrm{E} _{6}\) , Manuscripta Math. 140 (2013), 249-261. Linear algebraic groups over arbitrary fields, Algebraic cycles, Group actions on varieties or schemes (quotients), (Equivariant) Chow groups and rings; motives The \(J\)-invariant and Tits algebras for groups of inner type \(E_6\)
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Nullstellensatz; Picard group; Serre duality; simple sheaf; two-dimensional factorial algebras; graded algebras; weighted projective lines Kussin, Graded factorial algebras of dimension two, Bull. London Math. Soc. 30 (2) pp 123-- (1998) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Picard groups Graded factorial algebras of dimension two
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Sugawara construction; abelian algebras; representation theory; Virasoro algebra; Kac-Moody algebra; moduli spaces Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Families, fibrations in algebraic geometry, Virasoro and related algebras Representations of Virasoro and Kac-Moody algebras: an algebraic geometrical point of view
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quiver variety; Hall algebra; Yangian; quiver with potentials Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Quantum groups (quantized enveloping algebras) and related deformations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) On two cohomological Hall algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces (FC)-sequence; mixed multiplicity; multi-graded ring DOI: 10.3836/tjm/1313074450 Multiplicity theory and related topics, Graded rings, Dimension theory, depth, related commutative rings (catenary, etc.), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On (FC)-sequences and mixed multiplicities of multi-graded algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces hypergeometric curves; endomorphism algebras; Jacobians Jacobians, Prym varieties, Complex multiplication and moduli of abelian varieties Endomorphism algebras of factors of certain hypergeometric Jacobians
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces monomial ideal; toric algebra; Hilbert scheme; local cohomology; multigraded polynomial rings E. Miller and B. Sturmfels, \textit{Combinatorial commutative algebra}, Graduate Texts in Mathematics volume 227, Springer, Germany (2005). Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Computational aspects and applications of commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Parametrization (Chow and Hilbert schemes), Linkage, complete intersections and determinantal ideals Combinatorial commutative algebra
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tropical rank; symmetric matrices; dissimilarity matrices; secant set [7] D. Cartwright and M. Chan, Three notions of tropical rank for symmetric matrices, Combinatorica. 32, (2012), 1, 55-84. Three notions of tropical rank for symmetric matrices
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tropical geometry; tropical convexity; secant varieties; rank; symmetric matrices; hypergraph coloring Three notions of tropical rank for symmetric matrices
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces torus action; divisorial fan; additive group action; Demazure root; derivation; Lie algebra Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on affine varieties, Group actions on varieties or schemes (quotients), Derivations and commutative rings, Lie algebras of vector fields and related (super) algebras Lie algebras of vertical derivations on semiaffine varieties with torus actions
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces determinantal ideal of linear type; generic symmetric matrix; Rees algebra; divisor class group Kotzev, B. (1991). Determinantal ideals of linear type of a generic symmetric matrix. Journal of Algebra, 139, 484--504. Linkage, complete intersections and determinantal ideals, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Class groups, Determinantal varieties Determinantal ideals of linear type of a generic symmetric matrix
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic torus; Ext; rationality; permutation modules; birational classification; Picard module; torus; co-Picard module Rational and birational maps, Picard groups Direct summands of permutation modules and birational geometry
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces DGA; CDGA; mapping space; rational homotopy theory; derived algebraic geometry Rational homotopy theory, Differential graded algebras and applications (associative algebraic aspects) Comparing commutative and associative unbounded differential graded algebras over \(\mathbb{Q}\) from a homotopical point of view
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Sklyanin algebras; graded noncommutative algebras; regularity; Yang- Baxter equation; elliptic curve; line bundle; survey; irreducible finite dimensional \(A\)-modules; category of finitely generated graded modules; point modules; cyclic modules; Hilbert series; projective variety; irreducible modules Smith, S. P., The four-dimensional Sklyanin algebras, \(K\)-Theory. Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part I (Antwerp, 1992), 8, 1, 65-80, (1994) Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Elliptic curves, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras), Finite rings and finite-dimensional associative algebras The four-dimensional Sklyanin algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces instanton bundle; monad; GIT-quotients of affine varieties; geometric invariant theory Costa, L; Ottaviani, G, Nondegenerate multidimensional matrices and instanton bundles, Trans. Am. Math. Soc., 355, 49-55, (2003) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Geometric invariant theory, Homogeneous spaces and generalizations, Classification of affine varieties, Vector and tensor algebra, theory of invariants Nondegenerate multidimensional matrices and instanton bundles
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite-dimensional algebras; preprojective algebras; almost split sequences; coherent sheaves; tame hereditary algebras; indecomposable preprojective modules; tame hereditary bimodule algebras; quaternions; Auslander-Reiten orbits; ternary quadratic forms; indecomposable middle terms; endomorphism rings Kussin, D.: Factorial algebras, quaternions and preprojective algebras. In: Algebras and modules, II (Geiranger, 1996), 393-402, CMS Conf. Proc., 24, Amer. Math. Soc., Providence, RI (1998) Representations of quivers and partially ordered sets, Vector bundles on curves and their moduli, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Graded rings and modules (associative rings and algebras) Factorial algebras, quaternions and preprojective algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces reductive group scheme; dessins d'enfants; torsor; loop algebra; affine and three-point affine Lie algebras; Cartan subalgebra Chernousov, V., Gille, P. and Pianzola, A., Three-point Lie algebras and Grothendieck's dessins d'enfants. arXiv:1311.7097. Infinite-dimensional Lie (super)algebras, Galois cohomology of linear algebraic groups, Dessins d'enfants theory, Group actions on varieties or schemes (quotients), Cohomology theory for linear algebraic groups, Linear algebraic groups over adèles and other rings and schemes Three-point Lie algebras and Grothendieck's dessins d'enfants
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative resolutions; CM modules; surface singularities Cohen-Macaulay modules, McKay correspondence, Rings arising from noncommutative algebraic geometry Reconstruction algebras of type \(D\). II
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimple Lie algebra; invariant distribution; nilpotent orbit; Weyl group Simple, semisimple, reductive (super)algebras, Universal enveloping algebras of Lie algebras, Rings of differential operators (associative algebraic aspects), Semisimple Lie groups and their representations, Group actions on varieties or schemes (quotients) Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces A.~Beilinson and V.~Drinfeld 2004 \textit{Chiral algebras} Amer. Math. Soc. Colloq. Publ. 51 Amer. Math. Soc., Providence, RI vi+375~pp. Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Lie algebras and Lie superalgebras, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Chiral algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces blow-up algebras of rational normal scrolls; term-order; Rees algebra; SAGBI-basis Conca, A.; Herzog, J.; Valla, G., Sagbi bases with applications to blow-up algebras, \textit{J. Reine Angew. Math.}, 474, 113-138, (1996) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) SAGBI bases with applications to blow-up algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces integrable systems; noncommutative integrable systems; Euler-Arnold tops; Painlevé VI equation Levin, A.; Olshanetsky, M.; Zotov, A., J. Phys. A: Math. Theor., 49, (2016) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relationships between algebraic curves and integrable systems, Groups and algebras in quantum theory and relations with integrable systems, Yang-Baxter equations, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry Smith, S. Paul, Maps between non-commutative spaces, Trans. Amer. Math. Soc., 356, 7, 2927-2944, (2004) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Maps between non-commutative spaces
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric product; generating series; genus; Hodge numbers L. Maxim and J. Schürmann, Hirzebruch invariants of symmetric products, Topology of algebraic varieties and singularities, Contemp. Math. 538, American Mathematical Society, Providence (2011), 163-177. Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Symmetric products and cyclic products in algebraic topology, Mixed Hodge theory of singular varieties (complex-analytic aspects), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Representations of finite symmetric groups Hirzebruch invariants of symmetric products
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces prehomogeneous vector spaces; characteristic p Zhi Jie Chen, A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic \?. II, Chinese Ann. Math. Ser. A 9 (1988), no. 1, 10 -- 22 (Chinese). Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p. II
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces smoothness of an algebra; complete intersection; flat dimension; André- Quillen homology; projective dimension of Kähler differentials module DOI: 10.1007/BF01170850 Homological methods in commutative ring theory, Regular local rings, Complete intersections, Polynomial rings and ideals; rings of integer-valued polynomials Some characterizations of smooth, regular, and complete intersection algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces formally smooth algebras; algebraic de Rham cohomology; Hochschild homology; nonsingularity; noncommutative algebras; nilpotent lifting property; quasifree algebras; noncommutative differential forms; finite Hochschild cohomological dimension; Fedosov product J. Cuntz and D. Quillen, Algebra extensions and nonsingularity, J. Amer. Math. Soc. 8 (1995), no. 2, 251-289. \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry, Noncommutative topology, Noncommutative differential geometry, Category-theoretic methods and results in associative algebras (except as in 16D90), Derivations, actions of Lie algebras Algebra extensions and nonsingularity
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lax operator; current algebra; Tyurin data; almost graded structure; local central extension I. M. Krichever and O. K. Sheinman, ''Lax Operator Algebras,'' Funkts. Anal. Prilozh. 41(4), 46--59 (2007) [Funct. Anal. Appl. 41, 284--294 (2007)]; arXiv:math.RT/0701648. Infinite-dimensional Lie (super)algebras, Relationships between algebraic curves and integrable systems, Vector bundles on curves and their moduli Lax operator algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative rings; sheaves; unital quantale; category of sup- lattices; locale; spectrum Borceux , F. and Cruciani , R. , A Generic Representation Theorem for Non-commutative Rings , J. of Algebra 167 ( 1994 ) 291 - 308 . MR 1283288 | Zbl 0806.18003 Topoi, Preorders, orders, domains and lattices (viewed as categories), Noncommutative algebraic geometry A generic representation theorem for non-commutative rings
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), de Rham cohomology and algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology Unconditional noncommutative motivic Galois groups
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces regular algebras; graded rings; global dimension; Grothendieck group Grothendieck groups, \(K\)-theory, etc., Graded rings and modules (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The Grothendieck group of non-commutative non-Noetherian analogues of \(\mathbb{P}^1\) and regular algebras of global dimension two
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces representations of algebras; quivers; determinantal varieties; determinantal ideals; rational singularities; node splitting; moduli spaces Representations of quivers and partially ordered sets, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Representation varieties of algebras with nodes
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces main conjecture; universal elements; local constants; twist operators; \(\mathbb{Z}_p\)-module Iwasawa theory, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(K\)-theory of local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Towards a twist conjecture in non-commutative Iwasawa theory
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Albert algebras; first Tits construction; locally ringed spaces G. Achhammer, The first Tits construction of Albert algebras over locally ringed spaces, in Nonassociative Algebra and its Applications (Oviedo, 1993) Mathematics and Its Applications 303, Kluwer Academic Publ., Dordrecht, 1994, pp. 8--11. Exceptional Jordan structures, Simple, semisimple Jordan algebras The first Tits construction of Albert algebras over locally ringed spaces
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 3D gravity; moduli spaces; geodesics; large-genus limit Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Noncommutative differential geometry, Relationships between algebraic curves and physics, Geodesics in global differential geometry, Gravitational interaction in quantum theory, Quantization of the gravitational field Extension of geodesic algebras to continuous genus
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces characters; false theta functions; Jacobi forms; modular forms; vertex algebras Bringmann, K.; Milas, A., W-algebras, higher rank false theta functions and quantum dimensions, Selecta math., 23, 2, 1249-1278, (April 2017) Vertex operators; vertex operator algebras and related structures, Relationship to Lie algebras and finite simple groups, Theta series; Weil representation; theta correspondences, Theta functions and curves; Schottky problem \(W\)-algebras, higher rank false theta functions, and quantum dimensions
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative rational function; invariant field; group representation; positive rational function Actions of groups on commutative rings; invariant theory, Semialgebraic sets and related spaces, Geometric invariant theory, Symmetric functions and generalizations, Ordinary representations and characters Noncommutative rational functions invariant under the action of a finite solvable group
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hopf algebras; Polynomial formal groups; Raynaud orders Childs, L.N.; Greither, C.; Moss, D.J.; Sauerberg, J.; Zimmermann, K.: Hopf algebras, polynomial formal groups, and raynaud orders. Mem. amer. Math. soc. 136 (1998) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Formal groups, \(p\)-divisible groups, Group schemes, Collections of articles of miscellaneous specific interest Hopf algebras, polynomial formal groups, and Raynaud orders
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polynomial ring; rings of invariants; relation module of minors Kurano, K.: On relations on minors of generic symmetric matrices. J. algebra 124, 388-413 (1989) Geometric invariant theory, Determinantal varieties, Projective and free modules and ideals in commutative rings On relations on minors of generic symmetric matrices
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite representation type; group of units; orbits; distributive lattice Okniński, J.; Renner, L., Algebras with finitely many orbits, J. Algebra, 264, 479-495, (2003) Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on affine varieties, Ideals in associative algebras Algebras with finitely many orbits.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Dirac operators; Dirac fields; Drinfeld twists; deformation quantization; noncommutative quantum field theory; quantum field theory on curved spacetimes Noncommutative geometry methods in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Methods of noncommutative geometry in general relativity, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Geometry and quantization, symplectic methods, Deformation quantization, star products, Quantization in field theory; cohomological methods Dirac operators on noncommutative curved spacetimes
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quiver Grassmannian; representation variety; Auslander algebra; tilting theory Crawley-Boevey, W. W., Sauter, J.: On quiver Grassmannians and orbit closures for representation-finite algebras. arXiv:1509.03460[math.RT] Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds On quiver Grassmannians and orbit closures for representation-finite algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces flux compactifications; non-commutative geometry; string duality Lüst, D., T-duality and closed string non-commutative (doubled) geometry, Journal of High Energy Physics, 12, article no. 84, (2010) Noncommutative geometry methods in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Spinor and twistor methods applied to problems in quantum theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Fibrations, degenerations in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) T-duality and closed string non-commutative (doubled) geometry
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer group; Milnor group; continuous characters of the Galois group; central simple algebras Galois cohomology, Brauer groups of schemes, \(K_2\) and the Brauer group, Algebras and orders, and their zeta functions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), \(K\)-theory of local fields P-algebras over a multidimensional local field
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum cohomology; Gauss-Manin system; \(\mathcal D\)-module; toric variety; mirror symmetry; non-commutative Hodge structure Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Variation of Hodge structures (algebro-geometric aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds Mirror symmetry, singularity theory and non-commutative Hodge structures
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tight closure; F-regularity; good module Hashimoto, M, \textit{good filtrations of symmetric algebras and strong F-regularity of invariant subrings}, Math. Z., 236, 605-623, (2001) Actions of groups on commutative rings; invariant theory, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Group actions on varieties or schemes (quotients), Linkage, complete intersections and determinantal ideals Good filtrations of symmetric algebras and strong F-regularity of invariant subrings.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces unipotent group action; flag variety Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Compactifications; symmetric and spherical varieties, Nilpotent and solvable Lie groups Commutative unipotent group actions on~flag varieties and nilpotent multiplications
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Kazhdan-Lusztig map; orthogonal Lie algebra; nilpotent orbits [S2] N. Spaltenstein,A note on the Kazhdan-Lusztig map for even orthogonal Lie algebras, Arch. Math.55 (1990), 431--437. Lie algebras of linear algebraic groups, Classical groups (algebro-geometric aspects) A note on the Kazhdan-Lusztig map for even orthogonal Lie algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Chebyshev polynomials; symmetric matrices; Dynkin diagrams; symmetric algebras; projective resolutions Erdmann, K.; Schroll, S., Chebyshev polynomials on symmetric matrices, Linear Algebra Appl., 434, 12, 2475-2496, (2011) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Matrix equations and identities, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Homological methods in associative algebras, Deformations of singularities Chebyshev polynomials on symmetric matrices
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces commutative algebra; algebraic geometry; \(\mathcal{D}\)-module; local cohomology; group action Local cohomology and commutative rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of quivers and partially ordered sets Equivariant \(\mathcal{D}\)-modules on \(2 \times 2 \times 2\) hypermatrices
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric polynomial of noncommutative variables; degree; Hessian; signature; eigenvalue H. Dym, J. W. Helton and S. McCullough, The Hessian of a non-commutative polynomial has numerous negative eigenvalues, Journal d'Analyse Mathématique 102 (2007), 29--76. Local spectral properties of linear operators, Real polynomials: analytic properties, etc., Multilinear and polynomial operators, Eigenvalues, singular values, and eigenvectors, Real algebraic and real-analytic geometry The Hessian of a noncommutative polynomial has numerous negative eigenvalues
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces flag domain; Hermitian symmetric space; Weyl group Grassmannians, Schubert varieties, flag manifolds, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) Generic 1-connectivity of flag domains in Hermitian symmetric spaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex multiplication; noncommutative geometry Elliptic curves, Noncommutative topology, Noncommutative algebraic geometry On complex and noncommutative tori
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum plane Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Supervarieties Representations of \(GL_ q(2)\) and commutativity of the tensor product
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex prehomogeneous vector space; affine variety; regularity; reductivity; regular prehomogeneous vector space A. Gyoja: A counterexample in the theory of prehomogeneous vector spaces. Proc. Japan Acad., 66A, 26-27 (1990). Linear algebraic groups over the reals, the complexes, the quaternions, Homogeneous spaces and generalizations, Representation theory for linear algebraic groups A counterexample in the theory of prehomogeneous vector spaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces enveloping semigroup; wonderful completion; reductive algebraic monoid; symmetric variety of a semisimple algebraic group; spherical varieties Homogeneous spaces and generalizations, Linear algebraic groups over arbitrary fields Embeddings of symmetric varieties
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert module; polarization; tau-function; projective structure; cross-ratio; Schwarzian derivative; KP hierarchy; Fay trisecant identity; Cowen-Douglas theory Dupré, M.J., Glazebrook, J.F., Previato, E.: Differential algebras with Banach-algebra coefficients II: The operator cross-ratio Tau function and the Schwarzian derivative, Complex Anal. Oper. Theory. doi: 10.1007/s11785-012-0219-9 \(C^*\)-modules, Projective connections, Differential geometry of homogeneous manifolds, Relationships between algebraic curves and integrable systems Differential algebras with Banach-algebra coefficients. II: The operator cross-ratio tau-function and the Schwarzian derivative
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Poincaré series; Cayley-Sylvester formula Polynomial rings and ideals; rings of integer-valued polynomials, Actions of groups on commutative rings; invariant theory, Geometric invariant theory Analogue of the Cayley-Sylvester formula and the Poincaré series for an algebra of invariants of ternary form
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces relations; Noetherian rings; Krull dimension; infinite dimensional primitive factor; enveloping algebra; associated graded ring; coordinate ring of type-\(A\) Kleinian singularities; Auslander-Gorenstein ring; global dimension; Grothendieck group Hodges, T.J., Noncommutative deformations of type-\textit{A} Kleinian singularities, J. algebra, 161, 271-290, (1993) Deformations of associative rings, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Singularities of curves, local rings, Universal enveloping algebras of Lie algebras, Hypersurfaces and algebraic geometry, Module categories in associative algebras, Grothendieck groups, \(K\)-theory, etc., Homological dimension in associative algebras, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Noncommutative deformations of type-\(A\) Kleinian singularities
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Mathieu subspaces of algebras; Mathieu subspaces of modules; strongly simple algebras; quasi-stable algebras; radicals; idempotents; Jacobian conjecture; matrix algebras; quasi-stable elements; quasi-stable modules Zhao W., A generalization of Mathieu subspaces to modules of associative algebras, Cent. Eur. J. Math., 2010, 8(6), 1132--1155 Nil and nilpotent radicals, sets, ideals, associative rings, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), Jacobian problem, Endomorphism rings; matrix rings, Finite rings and finite-dimensional associative algebras, General module theory in associative algebras A generalization of Mathieu subspaces to modules of associative algebras.
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