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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 relative invariants; prehomogeneous vector space Gyoja, Akihiko, Invariants, nilpotent orbits, and prehomogeneous vector spaces, J. Algebra, 142, 1, 210-232, (1991) Simple, semisimple, reductive (super)algebras, Homogeneous spaces and generalizations Invariants, nilpotent orbits, and 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 modified gravity; noncommutative cosmology; slow-roll inflation; mixmaster universe; C*-algebra; random geometries; quantum gravity; fractals Marcolli, M.: Noncommutative Cosmology. World Scientific (2018) Research exposition (monographs, survey articles) pertaining to quantum theory, Relativistic cosmology, Renormalization group methods applied to problems in quantum field theory, Methods of noncommutative geometry in general relativity, Noncommutative geometry (à la Connes), Noncommutative geometry in quantum theory, Physics, Noncommutative algebraic geometry, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Quantization of the gravitational field, Applications of statistics to physics Noncommutative cosmology
| 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 fiber; convolution algebra; coherent sheaf; Khovanov homology; Fukaya category; category \(\mathcal{O}\) Stroppel, C., Webster, B.: 2-Block Springer fibers: convolution algebras and coherent sheaves. Comment. Math. Helv. \textbf{87}, 477-520 (2012). arXiv:0802.1943 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Convolution as an integral transform, Representations of associative Artinian rings, Classical real and complex (co)homology in algebraic geometry, Symplectic aspects of Floer homology and cohomology 2-block Springer fibers: convolution algebras and coherent sheaves
| 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 geometry; moduli spaces; factorization algebras Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Families, moduli, classification: algebraic theory, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Simplicial sets, simplicial objects, Local cohomology of analytic spaces Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry
| 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 algebraic geometry; derived noncommutative schemes; differential graded algebras; triangulated categories; perfect modules and complexes Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories and associative algebras, Derived categories, triangulated categories Finite-dimensional differential graded algebras and their geometric realizations
| 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 non-commutative algebra; finite associative algebra; single-sided units; post-quantum cryptography; public-key cryptoscheme; signature scheme; discrete logarithm problem; hidden logarithm problem Cryptography, Authentication, digital signatures and secret sharing, Computational aspects of associative rings (general theory), Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Endomorphism rings; matrix rings Structure of a finite non-commutative algebra set by a sparse multiplication table
| 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 non commutative algebraic geometry; topology; transition morphisms Noncommutative algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Introduction to non commutative algebraic geometry
| 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 wonderful compactification; minimal rank; equivariant bundles; nefness Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Homogeneous spaces and generalizations Equivariant vector bundles on complete symmetric varieties of minimal rank
| 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 Aluffi algebra; Aluffi torsion-free ideal; blowup algebra; associated graded ring Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Torsion modules and ideals in commutative rings, Syzygies, resolutions, complexes and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Singularities in algebraic geometry, Commutative rings and modules of finite generation or presentation; number of generators Torsion-free Aluffi 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 Inonu-Wigner contraction; invariant algebras; adjoint representation; coadjoint representation D. Panyushev and O. Yakimova, ''A remarkable contraction of semisimple Lie algebras,'' Ann. Inst. Fourier (to appear); http://arxiv.org/abs/1107.0702 . Actions of groups on commutative rings; invariant theory, Group actions on varieties or schemes (quotients) A remarkable contraction of semisimple 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 embeddings; spherical homogeneous spaces Corrado De Concini, Equivariant embeddings of homogeneous spaces, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986) Amer. Math. Soc., Providence, RI, 1987, pp. 369 -- 377. Differential geometry of homogeneous manifolds, Homogeneous spaces and generalizations Equivariant embeddings of homogeneous 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 homogeneous space; equivariant embedding; complexity and rank; spherical variety Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Representation theory for linear algebraic groups, Semisimple Lie groups and their representations Equivariant embeddings of homogeneous 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 Lie algebras of current type; local cocycles; central extensions; Krichever-Novikov type algebras; Tyurin parameters Applications of Lie algebras and superalgebras to integrable systems, Relationships between algebraic curves and integrable systems, Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Almost-graded central extensions of Lax operator 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 Lie algebras of current type; local cocycles; central extensions; krichever- Novikov type algebras; Tyurin parameters Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Applications of Lie algebras and superalgebras to integrable systems, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Differentials on Riemann surfaces, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Almost-graded central extensions of Lax operator 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 polynomial algebra; Laurent polynomial algebra; quasi Laurent polynomial algebra; principal ideal domain Polynomial rings and ideals; rings of integer-valued polynomials, Affine fibrations A note on quasi Laurent polynomial algebras in \(n\) variables
| 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 algebraic geometry; noncommutative planes; Hochschild cohomology; Artin-Schelter regular algebras; noncommutative planes; noncommutative quadrics; abelian category; Hochschild cohomology; Lefschetz trace formula; \(\mathbb{Z}\)-algebra; exceptional objects; Lie algebra Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Abelian categories, Grothendieck categories Hochschild cohomology of noncommutative planes and quadrics
| 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 extensions; ext-relations; modules; plane curves Jøndrup, S.: The geometry of noncommutative plane curves, Commun. algebra 36, No. 9, 3467-3477 (2008) Noncommutative algebraic geometry, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings The geometry of noncommutative plane curves
| 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 \(L\)-functions; Grothendieck trace formula; first \(K\)-group Witte, M.: Non-commutative L-functions for varieties over finite fields Iwasawa theory, Varieties over finite and local fields, Symbols and arithmetic (\(K\)-theoretic aspects) Noncommutative \(L\)-functions for varieties over finite fields
| 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 field theories in \((1+1)\) dimensions; bosonization; Drinfeld twist Noncommutative geometry methods in quantum field theory, NLS equations (nonlinear Schrödinger equations), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Twisted bosonization in two-dimensional noncommutative spacetime
| 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 Nakajima variety; partial Springer resolution; nilpotent Slodowy slices of classical groups; rectangular symmetry; symmetric pairs; \(\mathcal K\)-matrix Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)algebras Quiver varieties and symmetric pairs
| 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 generalized Weierstraß semigroup; complete intersection curve Delgado, F.: The symmetry of the Weierstrass generalized semigroups and affine embeddings. Proc. Am. Math. Soc. 108(3), 627--631 (1990) Riemann surfaces; Weierstrass points; gap sequences, Complete intersections The symmetry of the Weierstrass generalized semigroups and affine 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 monodromy functor; logarithmic connections; multiplicative preprojective algebras; vector bundles on punctured Riemann surfaces; Hilbert's 21st problem Crawley-Boevey (W.).-- Monodromy for systems of vector bundles and multiplicative preprojective algebras. Bull. London Math. Soc. 45, p. 309-317 (2013). Vector bundles on curves and their moduli, Connections (general theory), Representations of quivers and partially ordered sets, Monodromy on manifolds Monodromy for systems of vector bundles and multiplicative preprojective 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 genus 7; genus 8; genus 9; classification of smooth projective complex curves; canonical rings; symmetric spaces S. Mukai, ''Curves and symmetric spaces,'' Proc. Japan Acad. Ser. A Math. Sci., vol. 68, iss. 1, pp. 7-10, 1992. Special algebraic curves and curves of low genus, Families, moduli of curves (algebraic) Curves and 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 endomorphism algebra of an abelian variety; characteristic p; complex multiplications F. Oort, ''Endomorphism Algebras of Abelian Varieties,'' in Algebraic Geometry and Commutative Algebra (Kinokuniya, Tokyo, 1988), Vol. 2, pp. 469--502. Algebraic theory of abelian varieties, Complex multiplication and abelian varieties, Endomorphism rings; matrix rings, Arithmetic ground fields for abelian varieties Endomorphism algebras of abelian 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 Gel'fand pair; Lie groups; Poisson algebras O. S. Yakimova, Saturated commutative homogeneous spaces of Heisenberg type, Acta Applicandae Math. 81 (2004), 339--345. Homogeneous spaces, Group actions on varieties or schemes (quotients), Differential geometry of homogeneous manifolds Saturated commutative spaces of Heisenberg type
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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 LS algebras; LS paths; Stanley-Reisner ring; Schubert variety; toric varieties Chirivì, R.\!, LS algebras and application to Schubert varieties, Transform. Groups, 5, 3, 245-264, (2000) Grassmannians, Schubert varieties, flag manifolds, Algebraic aspects of posets LS algebras and application to Schubert varieties
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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 automorphism groups of polynomial algebras; free Lie algebras; algebras with polynomial identities; generic matrix algebras; free associative algebras V. Drensky, Automorphisms of polynomial, free and generic matrix algebras, inTrends in Ring Theory, Proc. Conf. Miskolc, 1996 (V. Dlab and L. Márki, eds.), CMS Conference Proceedings22, AM. Math. Soc. Providence, 1998, pp. 13--26. Automorphisms and endomorphisms, Trace rings and invariant theory (associative rings and algebras), Polynomials over commutative rings, Automorphisms of curves, Identities, free Lie (super)algebras, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms, derivations, other operators for Lie algebras and super algebras Automorphisms of polynomial, free and generic matrix 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 colimit; homotopy colimit; Stanley-Reisner algebra; flag complex; right-angled Artin group; right-angled Coxeter group Panov, Taras; Ray, Nigel; Vogt, Rainer, Colimits, Stanley-Reiner algebras, and loop spaces, (Categorical Decomposition Techniques in Algebraic Topology. Categorical Decomposition Techniques in Algebraic Topology, Isle of Skye, 2001. Categorical Decomposition Techniques in Algebraic Topology. Categorical Decomposition Techniques in Algebraic Topology, Isle of Skye, 2001, Progr. Math., vol. 215, (2004), Birkhäuser: Birkhäuser Basel), 261-291 Simplicial sets and complexes in algebraic topology, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Braid groups; Artin groups, Reflection and Coxeter groups (group-theoretic aspects), Toric varieties, Newton polyhedra, Okounkov bodies Colimits, Stanley-Reisner algebras, and loop 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 ADHM construction; instanton bundles; symmetric instantons; Yang-Mills equations Bor, Gil and Segert, Jan, Symmetric instantons and the {ADHM} construction, Communications in Mathematical Physics, 183, 1, 183-203, (1997) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Kähler-Einstein manifolds, Yang-Mills and other gauge theories in quantum field theory, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Symmetric instantons and the ADHM construction
| 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 topological \(K\)-theory; algebraic \(K\)-theory; cyclic homology; noncommutative Hodge structure Blanc, A., \textit{topological K-theory of complex noncommutative spaces}, Compos. Math., 152, 489-555, (2016) Noncommutative algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology Topological \(K\)-theory of complex noncommutative 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 gentle algebra; quiver; semi-invariant; spherical action Group actions on varieties or schemes (quotients), Representations of quivers and partially ordered sets Semi-invariants of gentle algebras by deformation method and sphericity
| 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 torsors; divided powers module Lundkvist, C.: Counterexamples regarding Symmetric Tensors and Divided Powers. J. Pure Appl. Algebra 212, 2236--2249 (2008) Actions of groups on commutative rings; invariant theory, Group actions on varieties or schemes (quotients) Counterexamples regarding symmetric tensors and divided powers
| 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 Kontsevich formality theorem; DG algebras; operads; hypersurface singularity; noncommutative unfolding; Gerstenhaber bracket; Gerstenhaber algebra; algebroid; Groupoid; Lie algebroid; Harrison chain complex Hinich (V.), Lemberg (D.).-- Noncommutative unfolding of hypersurface singularity, J. Noncommut. Geom. 8, no. 4, p. 1147-1169 (2014). Deformations and infinitesimal methods in commutative ring theory, Noncommutative algebraic geometry, Complex surface and hypersurface singularities Noncommutative unfolding of hypersurface singularity
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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 Hodge theory; locally symmetric spaces Cohomology of arithmetic groups, Transcendental methods, Hodge theory (algebro-geometric aspects), Modular and Shimura varieties, Homology and cohomology of \(H\)-spaces, Representation-theoretic methods; automorphic representations over local and global fields, Discrete subgroups of Lie groups Hodge theory and cycle theory of locally 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 \(L_{\infty }\) algebra; odd codifferentials; symmetric algebra of codifferentials Fialowski, A.; Penkava, M.: Extensions of L\(\infty \) algebras of two even and one odd dimension Formal methods and deformations in algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Local deformation theory, Artin approximation, etc., Deformations of associative rings, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Homological methods in Lie (super)algebras, Graded Lie (super)algebras Extensions of \(L_{\infty }\) algebras of two even and one odd dimension
| 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 Orlik-Solomon algebras; survey; hyperplane arrangements Behnke, H., Stein, K.: Entwicklungen analytischer Funktionen auf Riemannschen Flächen. Math. Annalen \textbf{120}, (1947) Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Discriminantal varieties and configuration spaces in algebraic topology, Configurations and arrangements of linear subspaces Orlik-Solomon algebras in algebra and topology
| 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 exceptional sequences; Drinfeld double Hall algebras; mutation formulas Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Representations of associative Artinian rings, Representations of quivers and partially ordered sets Exceptional sequences and Drinfeld double 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 algebraic monoid; toric variety; solvable algebraic group; Demazure root; grading; locally nilpotent derivation Algebraic monoids, Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on affine varieties, Linear algebraic groups over arbitrary fields, Solvable groups, supersolvable groups Classification of noncommutative monoid structures on normal affine surfaces
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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 algebraic geometry; moduli spaces Noncommutative algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Lie algebras and Lie superalgebras, Rings arising from noncommutative algebraic geometry On moduli spaces of 3d 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 Grassmannians; Mondrian tableaux; noncommutative symmetric functions; Schubert calculus; symmetric functions Combinatorial aspects of algebraic geometry, Symmetric functions and generalizations, Combinatorial aspects of representation theory, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds A noncommutative geometric LR rule
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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 curve; semistable vector bundle; non-abelian endomorphism algebra Vector bundles on curves and their moduli An example of a vector bundle with non-abelian algebra of endomorphisms
| 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 ideals; Lie algebras of vector fields; derivation Lie algebras; affine varieties Siebert, T., Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0, \textit{Math. Ann.}, 305, 271-286, (1996) Lie algebras of vector fields and related (super) algebras, Derivations, actions of Lie algebras, Lie (super)algebras associated with other structures (associative, Jordan, etc.), Infinite-dimensional Lie (super)algebras, Varieties and morphisms Lie algebras of derivations and affine algebraic geometry over fields of characteristic \(0\)
| 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 canonical algebras; module varieties; complete intersections; algebras of semi-invariants; representation spaces of quivers; Auslander-Reiten translations; homogeneous dimension vectors G. Bobiński, On the zero set of semi-invariants for homogeneous modules over canonical algebras, J. Algebra (in press) Representations of quivers and partially ordered sets, Geometric invariant theory, Complete intersections, Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on varieties or schemes (quotients), Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers Geometry and the zero sets of semi-invariants for homogeneous modules over canonical 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 wrapped Fukaya categories; punctured spheres; singularities; punctured Riemann surfaces; dimer models Bocklandt, R., Noncommutative mirror symmetry for punctured surfaces, Trans. Am. Math. Soc., 368, 429-469, (2016) Representations of quivers and partially ordered sets, Mirror symmetry (algebro-geometric aspects) Noncommutative mirror symmetry for punctured surfaces
| 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 factorization algebras; quantum groups; Whittaker category On factorization algebras arising in the quantum geometric Langlands 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 Clifford algebras; Brauer groups; Schur algebras; characters; generalized Brauer-Wall groups Turull, A.: Some invariants for equivalent G-algebras. J. Pure Appl. Algebra 98, 209--222 (1995) Ordinary representations and characters, Group rings of finite groups and their modules (group-theoretic aspects), Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Group rings, Finite-dimensional division rings, Brauer groups of schemes Some invariants for equivalent \(G\)-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 perfect fields; simple two-sided central vector spaces; non-commutative symmetric algebras; division rings of fractions; non-commutative surfaces Hart, J.; Nyman, A.: Duals of simple two-sided vector spaces, Comm. algebra 40, 2405-2419 (2012) Bimodules in associative algebras, Vector spaces, linear dependence, rank, lineability, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Duals of simple two-sided vector 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 Noncommutative geometry methods in quantum field theory, Axiomatic quantum field theory; operator algebras, Deformation quantization, star products, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Finite-dimensional groups and algebras motivated by physics and their representations, General theory of \(C^*\)-algebras, \(2\)-body potential quantum scattering theory Towards an axiomatic formulation of noncommutative quantum field theory. 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 \(C^*\)-algebra; Hilbert \(C^*\)-modules; metaplectic group Krýsl, S.: Analysis over C\(\ast \)-algebras. J. geom. Symmetry phys. 33, 1-25 (2014) Geometry and quantization, symplectic methods, Symplectic manifolds (general theory), de Rham cohomology and algebraic geometry, Differential complexes Analysis over \(C^*\)-algebras and the oscillatory representation
| 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 \(C^*\)-algebra; Hilbert \(C^*\)-modules; metaplectic group Geometry and quantization, symplectic methods, Symplectic manifolds (general theory), de Rham cohomology and algebraic geometry, Differential complexes Analysis over \(C^*\)-algebras and the oscillatory representation
| 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 dimensional algebras; Gabriel quivers; Kronecker quivers; path algebras; canonical algebras; regular representations; semi-invariants; complete intersections; regular modules Skowroński, A.; Weyman, J., Semi-invariants of canonical algebras, Manuscripta math., 100, 3, 391-403, (1999) Representations of quivers and partially ordered sets, Complete intersections, Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on varieties or schemes (quotients), Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers Semi-invariants of canonical 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 symmetric domain; holomorphic map; semisimple algebraic group Discrete subgroups of Lie groups, Semisimple Lie groups and their representations, Modular and Shimura varieties, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) Conjugates of rational equivariant holomorphic maps of symmetric domains
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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 crepant resolution; noncommutative quasi-resolution; Morita equivalent; derived equivalent; Auslander-Gorenstein algebra; Auslander regular algebra; Cohen-Macaulay algebra; dimension function Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Homological functors on modules (Tor, Ext, etc.) in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Noncommutative quasi-resolutions
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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 linear matrix inequalities; convex sets of matrices; noncommutative semialgebraic geometry H. Dym, W. Helton, and S. McCullough, ''Irreducible noncommutative defining polynomials for convex sets have degree four or less,'' Indiana Univ. Math. J., vol. 56, iss. 3, pp. 1189-1231, 2007. Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Miscellaneous inequalities involving matrices, Semialgebraic sets and related spaces, Linear operator inequalities, Dilations, extensions, compressions of linear operators, Convex sets and cones of operators, Convexity of real functions of several variables, generalizations Irreducible noncommutative defining polynomials for convex sets have degree four or less
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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 Braid groups; Yang-Baxter groups; dynamical Yang-Baxter relations; classical Yang-Baxter relations; Kohno-Drinfeld algebras; 3-term relations algebras; Gaudin elements; Jucys-Murphy elements; small quantum cohomology; \(K\)-theory of flag varieties; Pieri rules; chromatic number; Tutte and Betti polynomials; reduced polynomials; Chan-Robbins-Yuen polytope; \(k\)-dissections of a convex \((n+k+1)\)-gon; Lagrange inversion formula; Richardson permutations; multiparameter deformations of Fuss-Catalan and Schröder polynomials; poly-Bernoulli numbers; Stirling numbers; Euler numbers; Brauer algebras; VSASM; CSTCPP; Birman-Ko-Lee monoid; Kronecker elliptic sigma functions Kirillov, Anatol N., On some quadratic algebras {I}~{\(\frac{1}{2}\)}: combinatorics of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck, {F}uss--{C}atalan, universal {T}utte and reduced polynomials, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 002, 172~pages, (2016) Classical problems, Schubert calculus, Yang-Baxter equations, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials
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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 Grothendieck-Witt ring; \(\lambda\)-ring; algebraic group scheme Witt groups of rings, Representation theory for linear algebraic groups, Arithmetic rings and other special commutative rings, Group schemes, Frobenius induction, Burnside and representation rings Symmetric representation rings are \(\lambda\)-rings
| 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 string theory; matrix theory; sigma models; symmetric products; quantization of quantum field theories R. Dijkgraaf, \textit{Fields, strings, matrices and symmetric products}, hep-th/9912104 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantization in field theory; cohomological methods, Research exposition (monographs, survey articles) pertaining to quantum theory, Model quantum field theories, Relationships between surfaces, higher-dimensional varieties, and physics Fields, strings, matrices and symmetric products
| 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 Soibelman, Y. S.: Mirror symmetry and noncommutative geometry of a\infty-categories. J. math. Phys. 45, No. 10, 3742-3757 (2004) Calabi-Yau theory (complex-analytic aspects), Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects) Mirror symmetry and noncommutative geometry of \(A_ \infty\)-categories.
| 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 groups of automorphisms; symplectic vector spaces; multi-parameter deformations; symplectic reflection algebras; coordinate rings; McKay correspondence; Weyl groups; double affine Hecke algebras; Harish-Chandra homomorphisms; invariant polynomial differential operators; Calogero-Moser differential operators P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero--Moser space, and deformed Harish-Chandra homomorphism, \textit{Invent. Math.}, 147 (2002), no. 2, 243--348. Zbl 1061.16032 MR 1881922 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Lie algebras of vector fields and related (super) algebras, Applications of Lie algebras and superalgebras to integrable systems, Hecke algebras and their representations, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Noncommutative algebraic geometry Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
| 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 Lie-Rinehard cohomology; Hochschild cohomology; differential operators (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings of differential operators (associative algebraic aspects), Configurations and arrangements of linear subspaces, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Lie-Rinehart and Hochschild cohomology for algebras of differential operators
| 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 Generalized Clifford algebra; Ulrich bundles Emre Coskun, Rajesh S. Kulkarni, and Yusuf Mustopa, On representations of Clifford algebras of ternary cubic forms, New trends in noncommutative algebra, Contemp. Math., vol. 562, Amer. Math. Soc., Providence, RI, 2012, pp. 91 -- 99. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Representations of orders, lattices, algebras over commutative rings, Forms of degree higher than two, Hypersurfaces and algebraic geometry On representations of Clifford algebras of ternary cubic forms
| 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 hypercentral structure; automorphism group of a polynomial algebra; linearity Yu. V. Sosnovskii, ''The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra,'' Sib. Mat. Zh., 48, No. 3, 689-693 (2007). Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Infinite automorphism groups The hypercentral structure of the group of unitriangular automorphisms of a polynomial 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 multivariate Gaussian models; concentration matrix; maximum likelihood degree; Segre classes Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Estimation in multivariate analysis, Algebraic statistics, Computational aspects of higher-dimensional varieties, Determinants, permanents, traces, other special matrix functions The maximum likelihood degree of linear spaces 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 Koszul duality; finite dimensional graded algebras; Sklyanin algebras; elliptic curves; automorphisms S. Paul Smith, Some finite-dimensional algebras related to elliptic curves, Representation theory of algebras and related topics (Mexico City, 1994) CMS Conf. Proc., vol. 19, Amer. Math. Soc., Providence, RI, 1996, pp. 315 -- 348. Representations of orders, lattices, algebras over commutative rings, Elliptic curves, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Some finite dimensional algebras related to elliptic curves
| 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 B. Toën & G. Vezzosi, ``A non-commutative trace formula and Bloch's conductor conjecture'', in preparation 2017 Motivic cohomology; motivic homotopy theory, Noncommutative algebraic geometry Non-commutative geometry, trace formula and Bloch's conductor
| 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 differential graded algebra; Tor; Poincaré series; Golod maps; Gorenstein ideal Kustin, A.: Gorenstein algebras of codimension four and characteristic two. Commun. Algebra15, 2417--2429 (1987) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Low codimension problems in algebraic geometry, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) Gorenstein algebras of codimension four and characteristic 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 model structures; symmetric monoidal model categories; symmetric powers; generating cofibrations; localization of model categories; symmetric spectra; \(\mathbb{A}^1\)-homotopy theory; motivic spaces and motivic symmetric spectra Gorchinskiy, S., Guletskiĭ, V.: Symmetric powers in abstract homotopy categories. Adv. Math. \textbf{292}, 707-754 (2016) Motivic cohomology; motivic homotopy theory Symmetric powers in abstract homotopy categories
| 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 Compactifications; symmetric and spherical varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Modular and Shimura varieties, Automorphic functions in symmetric domains, Uniformization of complex manifolds On rigidity of locally 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 Grassmannians; secant variety; skew-symmetric tensors Multilinear algebra, tensor calculus, Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry, Group actions on varieties or schemes (quotients) A new class of non-identifiable skew-symmetric tensors
| 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 Macdonald polynomials; Demazure characters; Kostka-Foulkes polynomials; Macdonald's symmetric functions; Hall-Littlewood symmetric functions; Jack symmetric functions; nonsymmetric Macdonald polynomials; Schubert calculus; plethystic substitution; Yamanouchi; weak descent composition; non-symmetric Kostka-Foulkes polynomial; Demazure atom Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Symmetric functions and generalizations, Classical problems, Schubert calculus Nonsymmetric Macdonald polynomials and a refinement of Kostka-Foulkes 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 Veronese rings; posets; modules Grassmannians, Schubert varieties, flag manifolds, Module categories and commutative rings, Projective techniques in algebraic geometry Veronese algebras and modules of rings with straightening laws
| 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 T. Xue, Nilpotent orbits in classical Lie algebras over finite fields of characteristic \( 2\) and the Springer correspondence, Represent. Theory 13 (electronic), (2009), 371-390. Coadjoint orbits; nilpotent varieties, Classical groups (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer 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 Lie algebra; parabolic subalgebra; desingularization; normalization Varieties and morphisms, Affine algebraic groups, hyperalgebra constructions, General properties and structure of other Lie groups, Semisimple Lie groups and their representations On some subvarieties of the Cartesian powers of a semisimple Lie algebra related to a parabolic subalgebra
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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 Grothendieck category; noncommutative blowing up; adjoint functors; locally Noetherian; closed subcategory Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.), Noncommutative algebraic geometry Well-closed subschemes of noncommutative schemes
| 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 Boundary value problems in the complex plane, Surfaces and higher-dimensional varieties, Riemann surfaces Factorization of noncommutative permutation matrices on an algebraic surface of genus non-zero
| 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 algebras; elliptic algebras; Sklyanin algebras; deformations of polynomial algebras B. Feigin and A. Odesski,A family of elliptic algebras, International Mathematics Research Notices11 (1997), 531--539. Deformations of associative rings, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, Elliptic curves, Meromorphic functions of several complex variables A family of elliptic 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 homogeneous coordinate rings of projective varieties; A-infinity algebra Polishchuk, A, Extensions of homogeneous co-ordinate rings to \(A_\infty \)-algebras, Homol. Homotopy Appl., 5, 407-421, (2003) Sheaf cohomology in algebraic topology, Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.) Extensions of homogeneous coordinate rings to {\(A_\infty\)}-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 closed embeddings; formal neighborhoods; Todd class; Ext algebra; derived categories; Lie algebras; enveloping algebras; Duflo element; PBW isomorphism Formal neighborhoods in algebraic geometry, Universal enveloping (super)algebras, Universal enveloping algebras of Lie algebras, Cycles and subschemes The Ext algebra of a quantized cycle
| 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 geometry; Hochshchild cohomology; Harrison cohomology; representation theory; obstruction theory; formally smooth algebras; finitely unobstructed algebras; moduli of representations A. Ardizzoni, F. Galluzzi and F. Vaccarino, A new family of algebras whose representation schemes are smooth, Ann. Inst. Fourier (Grenoble), 66 (2016), no. 3, 1261--1277. Singularities in algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Algebraic moduli problems, moduli of vector bundles A new family of algebras whose representation schemes are smooth
| 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 mirror symmetry; \(A_ \infty\)-algebras; symplectic manifold; Lagrangian submanifolds; derived category Kontsevich, Maxim, Homological algebra of mirror symmetry, (Proceedings of the International Congress of Mathematicians, vol. 1, 2 (Zürich, 1994) (Basel), (1995), Birkhäuser), 120-139 Symplectic aspects of Floer homology and cohomology, Transcendental methods of algebraic geometry (complex-analytic aspects), Variation of Hodge structures (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Deformations of complex structures, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) Homological algebra of mirror symmetry
| 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 moduli spaces; noncommutative geometry; Lie bialgebra; homology theory Hamilton A.: Noncommutative geometry and compactifications of the moduli space of curves. J. Noncommut. Geom. 4(2), 157--188 (2010) Fine and coarse moduli spaces, Cohomology of Lie (super)algebras, Lie bialgebras; Lie coalgebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Triangulating manifolds Noncommutative geometry and compactifications of the moduli space of curves
| 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 twistor theory; supersymmetry; non(anti)commutative super twistor space; deformed associate product; super vector space Twistor theory, double fibrations (complex-analytic aspects), Applications of holomorphic fiber spaces to the sciences, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Twistor methods in differential geometry, Deformation quantization, star products On non(anti)commutative super twistor 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 deformation theory; Hochschild cohomology; Massey products; noncommutative algebraic geometry Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Deformations of singularities, Algebraic moduli problems, moduli of vector bundles Noncommutative deformation 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 Wilson, G.: Bispectral symmetry, the Weyl algebra and differential operators on curves. Proc. Steklov inst. 225, 141-147 (1999) Relationships between algebraic curves and integrable systems, Relationships between algebraic curves and physics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Commutative rings of differential operators and their modules Bispectral symmetry, the Weyl algebra and differential operators on curves
| 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 differential operator algebra; representation theory; line bundles; wonderful varieties Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Compactifications; symmetric and spherical varieties, Rings of differential operators (associative algebraic aspects) Irreducible representations of some differential operator 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 circle; Poisson algebra; Grassmannian; rank \(n\) swapping algebra Poisson algebras, Grassmannians, Schubert varieties, flag manifolds Rank \(n\) swapping algebra for Grassmannian
| 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 quaternion algebra; Brauer group; pseudoglobal field; function field of genus zero; Hasse principle Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups (algebraic aspects), Brauer groups of schemes Quaternion algebras over a pseudoglobal 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 Derivations and commutative rings, Jacobian problem Monomial preserving derivations and Mathieu-Zhao subspaces
| 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 tensors Bogomolov, F; Oliveira, B, Symmetric tensors and geometry of \(\mathbb{P}^N\) subvarieties, Geom. Funct. Anal., 18, 637-656, (2008) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Vanishing theorems in algebraic geometry, Low codimension problems in algebraic geometry Symmetric tensors and geometry of \({\mathbb{P}}^N\) subvarieties
| 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 \(L\)-series of symmetric powers of elliptic curve; formal group Formal groups, \(p\)-divisible groups, Elliptic curves, Elliptic curves over global fields On formal groups obtained from symmetric powers
| 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 \(k\)-bounded partitions C. Berg, N. Bergeron, H. Thomas, M. Zabrocki, Expansion of \textit{k}-Schur functions for maximal \textit{k}-rectangles within the affine nil-Coxeter algebra, preprint, 2012. Symmetric functions and generalizations, Classical problems, Schubert calculus Expansion of \(k\)-Schur functions for maximal rectangles within the affine 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 Iwasawa theory; main conjecture; varieties over finite fields; \(L\)-functions Iwasawa theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry Noncommutative main conjectures of geometric Iwasawa theory
| 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 algebra of the Heisenberg Lie algebra; standard algebras with 2 or 3 generators; effective criterion to decide whether a given standard algebra of dimension 3 is regular; automorphisms of elliptic curves Artin, M., Tate, J., Van den Bergh, M.: Some Algebras Associated to automorphisms of Elliptic Curves, The Grothendieck Festschrift, vol. 1, Progress in Mathematics, vol. 86, pp. 33-85. Brikhäuser, Basel (1990) Noncommutative algebraic geometry, Elliptic curves, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras) Some algebras associated to automorphisms of elliptic curves
| 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 almost-commuting variety; D-module; Cherednik algebra; Hamiltonian reduction Gan, Wee Liang; Ginzburg, Victor, Almost-commuting variety, \(\mathcal{D}\)-modules, and Cherednik algebras, Int. Math. Res. Pap. IMRP, 26439, 1-54, (2006), With an appendix by Ginzburg Noncommutative algebraic geometry, Lie algebras of vector fields and related (super) algebras, Sheaves of differential operators and their modules, \(D\)-modules Almost-commuting variety, \(\mathcal{D}\)-modules, 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 Nazih Nahlus, On L=[L,a]+[L,b] and x=[a,b] in split simple Lie algebras, to be written, title tentative. Lie algebras of linear algebraic groups, Affine algebraic groups, hyperalgebra constructions Lie algebras of pro-affine algebraic groups
| 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 tropical curves; Berkovich analytification; non-Archimedean skeleton; polysimplicial complexes; tropical Riemann-Roch theorem Geometric aspects of tropical varieties, Rigid analytic geometry Symmetric powers of algebraic and tropical curves: a non-Archimedean 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 finite associative algebra; non-commutative algebra; right unit; set of global units; discrete logarithm problem; digital signature; post-quantum cryptography Authentication, digital signatures and secret sharing, Cryptography, Computational aspects of associative rings (general theory), Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Endomorphism rings; matrix rings, Quantum cryptography (quantum-theoretic aspects) Finite non-commutative associative algebras for setting the hidden discrete logarithm problem and post-quantum cryptoschemes on its base
| 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 Karpenko, NA, Orthogonal and symplectic Grassmannians of division algebras, J. Ramanujan Math. Soc., 28, 213-222, (2013) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles, (Equivariant) Chow groups and rings; motives, Homogeneous spaces and generalizations Orthogonal and symplectic Grassmannians of division 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 Weyl algebra; polynomial algebra; power series; Jacobian Conjecture; Dixmier Problem V. Bavula, The inversion formula for automorphisms of theWeyl algebras and polynomial algebras, Journal of Pure and Applied Algebra 210 (2007), 147--159. Commutative rings of differential operators and their modules, Derivations and commutative rings, Jacobian problem, Rings of differential operators (associative algebraic aspects), Morphisms of commutative rings, Polynomials over commutative rings The inversion formula for automorphisms of the Weyl algebras and polynomial 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 finite dimensional algebras; affine varieties; general linear groups; degenerations of modules; partial orders; categories of quasi-tubes; minimal degenerations Skowroński, A.; Zwara, G.: On degenerations of modules with nondirecting indecomposable summands. Canad. J. Math. 48, 1091-1120 (1996) Representations of associative Artinian rings, Group actions on varieties or schemes (quotients), Formal methods and deformations in algebraic geometry, Module categories in associative algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Finite rings and finite-dimensional associative algebras On degenerations of modules with nondirecting indecomposable summands
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