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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 Hopf-Galois extension; Drinfeld twist; gauge group Noncommutative geometry in quantum theory, Hopf algebras and their applications, Quantum groups and related algebraic methods applied to problems in quantum theory, Quantum groups (quantized enveloping algebras) and related deformations, Geometry and quantization, symplectic methods, Deformation quantization, star products, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Formal methods and deformations in algebraic geometry, Equivariant fiber spaces and bundles in algebraic topology, Yang-Mills and other gauge theories in quantum field theory The gauge group of a noncommutative principal bundle and twist deformations
| 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 Euler continuants; character varieties; Boalch algebra; nonommutative quasi-Poisson geometry; quasi-Poisson algebras Representations of quivers and partially ordered sets, Poisson algebras, Noncommutative algebraic geometry, Symplectic structures of moduli spaces, Momentum maps; symplectic reduction Euler continuants in noncommutative quasi-Poisson 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 simple Lie algebra; tau-function; Drinfeld-Sokolov hierarchy; matrix resolvent; topological ODE Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Applications of Lie algebras and superalgebras to integrable systems, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Simple Lie algebras, Drinfeld-Sokolov hierarchies, and multi-point correlation functions
| 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 interpolation; (doubly) symmetric polynomial; localization; equivariant cohomology; Grassmannian Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Symmetric functions and generalizations, Homology with local coefficients, equivariant cohomology Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
| 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 coherent rings; graded algebras; noncommutative schemes; Gorenstein algebras; categories of coherent modules; coherent sheaves D. Piontkovski, Coherent algebras and noncommutative projective lines. J. Algebra 319 (2008), 3280-3290. Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) Coherent algebras and noncommutative projective lines.
| 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-strict positivstellensatz; non-commutative \(^\ast\)-algebra; symmetry reduction; star product Quantizations, deformations for selfadjoint operator algebras, Real algebraic and real-analytic geometry Symmetry reduction of states. II: A non-commutative positivstellensatz for \(\mathbb{C} \mathbb{P}^n\)
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \( W \)-algebras; Lax type operators; generalized quasideterminants; integrable Hamiltonian hierarchies; (Twisted) Yangians Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Special quantum systems, such as solvable systems, Proarrow equipments, Yoneda structures, KZ doctrines (lax idempotent monads), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) \( W \)-algebras via Lax type 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 double Poisson structure; free associative algebra; quadratic Poisson bracket Odesskii, A., Rubtsov, V., Sokolov, V.: Poisson brackets on free associative algebras. Contemp. Math. \textbf{592}, 295 (2013) Poisson algebras, Applications of Lie algebras and superalgebras to integrable systems, Applications of holomorphic fiber spaces to the sciences, Relationships between algebraic curves and integrable systems Double Poisson brackets on free associative 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 Skolem-Noether theorem; simple finite dimensional algebras; maximal commutative subalgebras; inner automorphism; finite Galois extension; Brauer group S. U. Chase,Two results on central simple algebras, Communications in Algebra12 (1984), 2279--2289. Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Finite rings and finite-dimensional associative algebras, Galois cohomology, Brauer groups of schemes Two remarks on central simple 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 Mollin, R.A.: Algebras with uniformly distributed invariants. J. Algebra 44, 271--282 (1977) Group rings, Class field theory, Cyclotomic extensions, Brauer groups of schemes, Group rings of finite groups and their modules (group-theoretic aspects) Algebras with uniformly distributed invariants
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Rees property; geometrically realizable ring; local cohomology; noncommutative scheme; left and right noetherian ring; prime ideals; structure presheaf; idempotent kernel functor; compatible rings; Azumaya algebras; closure operators; spectral sequences; local cohomology groups A. Verschoren, ''Local cohomology of noncommutative rings: a geometric interpretation,''Lect. Notes Math.,1328, 316--331 (1988). (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Torsion theories; radicals on module categories (associative algebraic aspects), Homological methods in associative algebras, Localization and associative Noetherian rings, Noetherian rings and modules (associative rings and algebras), Modules, bimodules and ideals in associative algebras, Local cohomology and algebraic geometry, Schemes and morphisms Local cohomology of noncommutative rings: A geometric interpretation
| 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; representations; concealed-canonical algebras; tame concealed algebras; relative invariants; admissible weights; semistability; coarse moduli spaces; extended Dynkin quivers; perpendicularity DOI: 10.1006/jabr.2001.9117 Representations of quivers and partially ordered sets, Representation type (finite, tame, wild, etc.) of associative algebras, Module categories in associative algebras, Group actions on varieties or schemes (quotients) Moduli spaces for representations of concealed-canonical 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 AS-regular algebras; Fano algebras; connected algebra; noncommutative projective curve; noncommutative projective plane; Yoneda Ext-algebra; Koszula algebras Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Classification problems in noncommutative algebraic geometry and representation 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 degeneracy loci; Chow groups; Chern numbers of determinantal varieties; resultant P. PRAGACZ , Determinantal Varieties and Symmetric Polynomials (Functional Analysis and Its Applications, Vol. 21, N^\circ 3, pp. 89-90, 1987 ). MR 90h:14072a | Zbl 0633.14029 Determinantal varieties, Parametrization (Chow and Hilbert schemes), Characteristic classes and numbers in differential topology Determinantal varieties and symmetric 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 noncommutative algebra; differential geometry; matrix polynomial algebras Noncommutative algebraic geometry, Physics Physical interpretation of noncommutative algebraic 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 symmetric space; reductive Lie algebra; invariant differential operator; invariant eigendistribution T. Levasseur and J. T. Stafford, Invariant differential operators on the tangent space of some symmetric spaces, Annales de lInstitut Fourier 49 (1999), 1711--1741. Semisimple Lie groups and their representations, Group actions on varieties or schemes (quotients), Rings of differential operators (associative algebraic aspects), Simple, semisimple, reductive (super)algebras Invariant differential operators on the tangent space of some 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 real symmetric forms; Schur subspace; base of Schur type; construct real algebraic geometry Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields Schur subspace of real symmetric forms and application
| 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 Jacobi-Zariski; Hochschild cohomology; algebra extensions; noncommutative algebras; graph algebras (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry Noncommutative fibrations
| 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 differential forms; non-commutative de Rham form Noncommutative algebraic geometry, de Rham theory in global analysis, Differential forms in global analysis Some noncommutative differential 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 twisted presheaf; quasi-compact semiseparated twisted presheaf; qcss twisted presheaf; noncommutative deformation; presheaf of noncommutative algebras; deformation of abelian categories; Hochschild cohomology; Toda's construction; Gestenhaber-schack complex; deformation quantization; deformation of algebras Dinh Van, H.; Liu, L.; Lowen, W., Non-commutative deformations and quasi-coherent modules, Selecta Math., 23, 2, 1061-1119, (2016) Deformations and infinitesimal methods in commutative ring theory, Noncommutative algebraic geometry Non-commutative deformations and quasi-coherent modules
| 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 module variety; scheme of representations; geometrically irreducible algebra; minimal geometrically irreducible algebra Representations of quivers and partially ordered sets, Affine geometry, Special varieties Algebras with irreducible module varieties. II: Two vertex case
| 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 Bulois, M., Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs, Transform. Groups, 16, 4, 1027-1061, (2011) Special varieties, Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)algebras Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid 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 reductive prehomogeneous vector space Kasai, S.: A classification of reductive prehomogeneous vector spaces with two irreducible components, I. Japan J. Math. 14, 385-418 (1988) Homogeneous spaces and generalizations, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) A classification of reductive prehomogeneous vector spaces with two irreducible components. I
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology group; central extensions Alternative rings, Right alternative rings, Local cohomology and algebraic geometry Central extension of left alternative algebras and the second cohomology group
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semigroups of upper triangular matrices; finite regular monoids; unit groups; algebras of invariants; complex semigroup algebras; irreducible characters; induced characters; quasi-hereditary algebras; cuspidal characters; canonical monoids of Lie type; balanced monoids; full transformation semigroups Putcha M., J. Algebra 163 pp 632-- Semigroup rings, multiplicative semigroups of rings, Representation of semigroups; actions of semigroups on sets, Semigroups of transformations, relations, partitions, etc., Other matrix groups over finite fields, Representations of associative Artinian rings, Ordinary and skew polynomial rings and semigroup rings, Automorphisms and endomorphisms, Other algebraic groups (geometric aspects), Group actions on varieties or schemes (quotients) Invariant algebra and cuspidal representations of finite monoids
| 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 F-blowup; \(D\)-modules; noncommutative resolution; \(G\)-Hilbert scheme Toda, Y; Yasuda, T, Noncommutative resolution, \({{\mathrm F}}\)-blowups and \(D\)-modules, Adv. Math., 222, 318-330, (2009) Noncommutative algebraic geometry, Generalizations (algebraic spaces, stacks), Algebraic moduli problems, moduli of vector bundles Noncommutative resolution, F-blowups and \(D\)-modules
| 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 line bundles on an algebraic curve; Jacobian variety; Brill-Noether locus; moduli space of stable vector bundles; Fano threefold S. Mukai, Non-abelian Brill-Noether theory and Fano 3-folds [translation of Sūgaku 49 (1997), no. 1, 1-24; MR1478148 (99b:14012)], Sugaku Expositions 14 (2001), no. 2, 125-153. Vector bundles on curves and their moduli, Fano varieties, \(3\)-folds, Algebraic moduli problems, moduli of vector bundles Noncommutativizability of Brill-Noether theory and 3-dimensional Fano variety
| 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 \(p\)-adic symmetric spaces; reductive symmetric space; Eisenstein series; integral transform; Fourier-Eisenstein transform; Hecke algebra- homomorphism; Schwartz-Bruhat functions; Euler product expansion; spherical Fourier transforms --, Eisenstein series on reductive symmetric spaces and representations of Hecke algebras.J. reine angew. Mathematik 445 (1993), 45--108. Other groups and their modular and automorphic forms (several variables), Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Harmonic analysis on homogeneous spaces, Representations of Lie and linear algebraic groups over global fields and adèle rings, Homogeneous spaces and generalizations Eisenstein series on reductive symmetric spaces and representations of Hecke 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 moduli spaces; two-dimensional algebras DOI: 10.1080/00927870008827101 Algebraic moduli problems, moduli of vector bundles, Commutative Artinian rings and modules, finite-dimensional algebras, Actions of groups on commutative rings; invariant theory, Geometric invariant theory The moduli space of 2-dimensional 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 associative algebra; non-commutative algebra; global unit; left-side units; local unit; local invertibility; discrete logarithm problem; public-key cryptoscheme; digital signature; post-quantum cryptography 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 Finite non-commutative associative algebras as carriers of hidden discrete logarithm problem
| 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 graded subalgebras; tensor algebras; S-algebras; invariant algebras; Endlichkeitssatz; noncommutative invariants; generating functions; Hilbert series Automorphisms and endomorphisms, Brauer groups of schemes, Vector and tensor algebra, theory of invariants, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Representations of finite symmetric groups, Combinatorial aspects of representation theory, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) S-algebras and commutative 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 noncommutative motives; zeta functions; Weil conjectures; regularized determinants; motivic Galois (super-)groups; noncommutative algebraic geometry Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Relations with noncommutative geometry, \(K\)-theory and homology; cyclic homology and cohomology Noncommutative motives in positive characteristic and their applications
| 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 central separable algebra; local-global ring; cancellation property Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Noncommutative local and semilocal rings, perfect rings, Finite-dimensional division rings, Projective and free modules and ideals in commutative rings, Structure, classification theorems for modules and ideals in commutative rings, Brauer groups of schemes Central separable algebras over local-global rings. II
| 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 function; \(k\)-Schur function; Young tableaux; \(k\)-core; Coxeter group; Littlewood-Richardson coefficient; affine Grassmannian Berg, C.; Saliola, F.; Serrano, L., Combinatorial expansions for families of non-commutative \textit{k}-Schur functions Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds Combinatorial expansions for families of noncommutative \(k\)-Schur functions
| 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 static solutions; Seiberg-Witten map; S-duality Noncommutative geometry methods in quantum field theory, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) Monopoles in space-time noncommutative Born-Infeld 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 2-web; generalized vector spaces; algebra of dual numbers Differential geometry of webs, Pencils, nets, webs in algebraic geometry Flag two-webs of type \(T^{mn}_{m,n}\) realized in spaces over 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 non-commutative algebraic geometry; non-affine objects Noncommutative algebraic geometry 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 Etingof P., Ginzburg V.: Noncommutative complete intersections and matrix integrals. Pure Appl. Math. Q. 3, 107--151 (2007) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Representation theory of associative rings and algebras Noncommutative complete intersections and matrix integrals
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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 automorphisms; vector fields; Lie algebras; affine \(n\)-space Lie algebras of vector fields and related (super) algebras, Jacobian problem Automorphisms of the Lie algebra of vector fields on affine \(n\)-space
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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 Deformations and infinitesimal methods in commutative ring theory, Local deformation theory, Artin approximation, etc., Formal neighborhoods in algebraic geometry, Syzygies, resolutions, complexes in associative algebras, Deformations of associative rings Universal lifts of chain complexes over non-commutative parameter 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 elliptic algebra; Sklyanin algebra; twist; theta functions Noncommutative algebraic geometry, Elliptic curves, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Feigin and Odesskii's elliptic 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 noncommutative geometry; noncommutative \(k\)-algebras; partial desingularizations Le Bruyn, L.: Non-commutative algebraic geometry and commutative desingularizations. In: Noncommutative algebra and geometry, Volume 243 of Lect. Notes Pure Appl. Math., Boca Raton, FL: Chapman \& Hall/CRC, 2006, pp. 203--252 Noncommutative algebraic geometry, Relevant commutative algebra, Singularities in algebraic geometry, Local structure of morphisms in algebraic geometry: étale, flat, etc. Non-commutative algebraic geometry and commutative desingularizations
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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 Borisov, Lev A., Berglund-Hübsch mirror symmetry via vertex algebras, Comm. Math. Phys., 320, 1, 73-99, (2013) Vertex operators; vertex operator algebras and related structures, Calabi-Yau manifolds (algebro-geometric aspects) Berglund-Hübsch mirror symmetry via vertex 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 cycle; abelian variety; Chow ring; symmetric product; Jacobian (Equivariant) Chow groups and rings; motives, Algebraic theory of abelian varieties, Algebraic cycles, Arithmetic ground fields for curves Algebraic cycles on symmetric products and abelian 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 commutative power-associative algebra; deformation; rigid algebra Power-associative rings, Deformations and infinitesimal methods in commutative ring theory, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Commutative power-associative algebras of small dimension
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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 Jacobian conjecture; polynomial mappings; homogeneous dependence; Engel algebras; nilpotent and solvable algebras Jacobian problem, Ternary compositions, Free nonassociative algebras, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Automorphisms, derivations, other operators (nonassociative rings and algebras) Polarization algebras and their relations
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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; double Poisson algebra; double Lie-Rinehart algebra Monoidal categories, symmetric monoidal categories, Noncommutative algebraic geometry, Poisson algebras, Tannakian categories, Noncommutative geometry (à la Connes) Shifted double Lie-Rinehart 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 De Meyer, F.; Ingraham, E., Separable algebras over a commutative rings. \textit{Lecture Notes Math.} 181, (1971), Springer, New York Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Brauer groups of schemes, Galois theory and commutative ring extensions Separable algebras over commutative rings
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces vortices; instantons; noncommutative geometry Otsu, H.; Sato, T.; Ikemori, H.; Kitakado, S.: Vortices as instantons in noncommutative discrete space: use of Z2 coordinates Noncommutative geometry methods in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Soliton equations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories in gravitational theory, Methods of noncommutative geometry in general relativity Vortices as instantons in noncommutative discrete space: use of \(Z_{2}\) coordinates
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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 rational simplicial polytope; fixed-point free linear symmetry; Cohen- Macaulay complex; \(h\)-vector; toric variety Adin, R.M., On \textit{h}-vectors and symmetry, (Jerusalem combinatorics '93, Contemp. math., vol. 178, (1994), Amer. Math. Soc. Providence, RI), 1-20, MR 1310571 (96e:52029) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.), Toric varieties, Newton polyhedra, Okounkov bodies, Symmetry properties of polytopes, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) On \(h\)-vectors and symmetry
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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 Apéry monomial; complete intersection; factorization; flat; numerical semigroup; rectangle Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities of curves, local rings, Semigroup rings, multiplicative semigroups of rings Factorizations in numerical semigroup 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 Daletskii, A.: Poisson configuration spaces, von Neumann algebras, and harmonic forms. J. nonlinear math. Phys. 11, 179-184 (2004) de Rham cohomology and algebraic geometry, General theory of von Neumann algebras Poisson configuration spaces, von Neumann algebras, and harmonic forms
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer group; Milnor group; continuous characters of the Galois group; central simple algebras V. G. Khalin, Simple Algebras over Multidimensional Local Fields [in Russian], (Manuscript deposited in VINITI on August 29, 1986) Dep. No. 6263-B. Galois cohomology, \(K\)-theory of local fields, \(K_2\) and the Brauer group, Algebras and orders, and their zeta functions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Brauer groups of schemes \(P\)-algebras over multidimensional local 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 Kazhdan Lusztig polynomials; Schubert varieties; Hermitian symmetric spaces; intersection homology sheaf; characteristic classes; root system Boe, B.; Fu, J., Characteristic cycles in Hermitian symmetric spaces, Can. J. Math., 49, 417-467, (1997) Grassmannians, Schubert varieties, flag manifolds, General properties and structure of real Lie groups, Integral geometry, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Characteristic classes and numbers in differential topology Characteristic cycles in Hermitian symmetric 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 Poisson structure; Calabi-Yau algebra; cyclic homology (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Quadratic and Koszul algebras, Coalgebras and comodules; corings, Rings arising from noncommutative algebraic geometry The derived non-commutative Poisson bracket on Koszul Calabi-Yau 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 Lie algebra; space; irreducible component; niloptent algebra; ideal; spectrum Structure theory for Lie algebras and superalgebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Solvable, nilpotent (super)algebras On the intersection of irreducible components of the space of finite-dimensional 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 mixed Hodge polynomial; symmetric product; algebraic groups Group actions on varieties or schemes (quotients), Free nonabelian groups Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative deformations; D-modules; noncommutative algebraic geometry; global Hochschild cohomology; noncommutative schemes; noncommutative sheaves Eriksen, E., Computing noncommutative deformations of presheaves and sheaves of modules, Canad. J. Math., 62, 520-542, (2010) Formal methods and deformations in algebraic geometry, Commutative rings of differential operators and their modules Computing noncommutative deformations of presheaves and sheaves of modules
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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 plethysm; external and symmetric products; pre-lambda structure; Adams operation; characters of representations; Schur functor Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Symmetric products and cyclic products in algebraic topology, (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Representations of finite symmetric groups, Symmetric monoidal categories, \(J\)-homomorphism, Adams operations Plethysm and cohomology representations of external and symmetric products
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complete symmetric varieties; semisimple Lie groups; maximal torus action; cohomology rings; Schubert calculus Semisimple Lie groups and their representations, Classical real and complex (co)homology in algebraic geometry, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Vector fields on some class of complete symmetric 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 complete symmetric varieties; semisimple Lie groups; maximal torus; action; cohomology rings; Schubert calculus Semisimple Lie groups and their representations, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Classical real and complex (co)homology in algebraic geometry Vector fields on some class of complete symmetric 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 local non-Archimedean ground field; rigid analytic varieties; maximal orders; Drinfeld elliptic modules; formal modules; Drinfeld covering; Weil pairing Alain Genestier, Espaces symétriques de Drinfeld, Astérisque 234 (1996), ii+124 (French, with French summary). Formal groups, \(p\)-divisible groups, Local ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli of abelian varieties, classification Drinfeld's symmetric 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 semisimple finite prehomogeneous vector space; Dynkin quiver Nagura M., Proc. Amer. Math. Soc. 137 pp 1255-- (2009) Group actions on varieties or schemes (quotients), Representations of quivers and partially ordered sets, Prehomogeneous vector spaces A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers
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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 Schubert derivations; fermionic Fock space; bilateral partitions; bosonic/fermionic representations Exterior algebra, Grassmann algebras, Vertex operators; vertex operator algebras and related structures, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations Bosonic and fermionic representations of endomorphisms of exterior 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 Springer fibers; Khovanov homology; Weyl group type D Grassmannians, Schubert varieties, flag manifolds, Factorials, binomial coefficients, combinatorial functions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 2-row Springer fibres and Khovanov diagram algebras for type D
| 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 determinantal ideal; Gröbner basis; standard tableaux Conca, A., Gröbner basis of ideals of minors of a symmetric matrix, J. Algebra, 166, 406-421, (1994) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinantal varieties, Linkage, complete intersections and determinantal ideals Gröbner bases of ideals of minors of a symmetric matrix
| 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 Penrose tilings; skyscraper sheaves; AF-algebra; Grothendieck group; Penrose sequence; connected algebra; Bratteli diagram Smith, SP, The space of Penrose tilings and the non-commutative curve with homogeneous coordinate ring \(####\), J. Noncommut. Geom., 8, 541-586, (2014) Noncommutative algebraic geometry, Grothendieck groups, \(K\)-theory, etc., von Neumann regular rings and generalizations (associative algebraic aspects), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), \(K_0\) as an ordered group, traces, Tilings in \(2\) dimensions (aspects of discrete geometry), Tilings in \(n\) dimensions (aspects of discrete geometry), Noncommutative geometry (à la Connes) The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\)
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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 weight structure; weight spectral sequence; Grothendieck ring; Picard group; Voevodsky motive; Kontsevich noncommutative motive ______, {\em Weight structure on Kontsevich's noncommutative mixed motives}. Homology, Homotopy and Applications, \textbf{14}(2) (2012), 129--142 Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Enriched categories (over closed or monoidal categories), Spectral sequences, hypercohomology, Riemann-Roch theorems, Chern characters, Formal methods and deformations in algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology Weight structure on Kontsevich's noncommutative mixed motives
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tensor product of \(k\)-algebras; regular ring; complete intersection ring; Gorenstein ring; Cohen-Macaulay ring; Noetherian ring; separable extension Tabaâ, M., Sur le produit tensoriel d'algèbres, Math. Scand., 119, 5-13, (2016) Regular local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) On the tensor product of 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 Pianzola A. (2004) Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras. J. Algebra 275, 600--614 Structure theory for Lie algebras and superalgebras, Homogeneous spaces and generalizations, Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Locally trivial principal homogeneous spaces and conjugacy theorems for 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 algebraic groups; rational \(G\)-algebras; quasi-affine homogeneous spaces; affine embeddings I. V. Arzhantsev, ''Algebras with finitely generated invariant subalgebras,'' Ann. Inst. Fourier, 53, No.2, 379--398 (2003). Actions of groups on commutative rings; invariant theory, Commutative rings and modules of finite generation or presentation; number of generators, Affine algebraic groups, hyperalgebra constructions, Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Group actions on affine varieties Algebras with finitely generated invariant subalgebras.
| 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 prime ideal space; spectral topological space; neo-commutative ring; Noetherian rings; self injective regular rings L.P. Belluce: ''Spectral spaces and non-commutative rings'', Comm. Algebra, Vol. 19, (1991), pp. 1855--1865. Ideals in associative algebras, von Neumann regular rings and generalizations (associative algebraic aspects), Spectra in general topology, Associative rings of functions, subdirect products, sheaves of rings, Noetherian rings and modules (associative rings and algebras) Spectral spaces and non-commutative 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 chiral algebras; chiral homology; factorization algebras; Koszul duality; homological stability; configuration spaces Discriminantal varieties and configuration spaces in algebraic topology, Generalizations (algebraic spaces, stacks), Cohomology of Lie (super)algebras, Groups and algebras in quantum theory Free factorization algebras and homology of configuration spaces 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 symmetric matrix; dual variety; degeneracy loci B. Ilic and J. M. Landsberg, \textit{On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties}, Math. Ann., 314 (1999), pp. 159--174. Determinantal varieties, Matrix pencils On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual 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 Zariski cancellation problem; Poisson algebra; locally nilpotent derivation; divisor subalgebra; stratiform algebra Poisson algebras, Ordinary and skew polynomial rings and semigroup rings, Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras, Automorphisms and endomorphisms, Rings arising from noncommutative algebraic geometry, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Derivations, actions of Lie algebras Cancellation and skew cancellation for Poisson 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 representation theory; lattice models; generalized Weyl algebras; weight modules Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative fiber products and lattice models
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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 Noetherian rings; Gelfand-Kirillov dimension; growth; finitely generated domains; graded domains of Gelfand-Kirillov dimension two; Ore sets; graded quotient rings; skew Laurent polynomial rings; division algebras; finitely generated field extensions; Hilbert series; Ore condition; function fields of smooth projective curves; homogeneous coordinate rings; PI-rings M. Artin and J.T. Stafford: ''Noncommutative graded domains with quadratic growth'', Invent. Math., Vol. 122(2), (1995), pp. 231--276. Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Ore rings, multiplicative sets, Ore localization, Integral domains (associative rings and algebras) Noncommutative graded domains with quadratic growth
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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 versal deformations; associative algebras:nilpotent algebras; the fundamental theorem of finite dimensional algebras; jump deformation; stratification; stratification by jump deformations; non-nilpotent associative algebra 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 The moduli space of 4-dimensional non-nilpotent complex associative 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 noncommutative Hodge theory; mirror symmetry Variation of Hodge structures (algebro-geometric aspects), Noncommutative algebraic geometry, Mirror symmetry (algebro-geometric aspects) Formulae in noncommutative Hodge 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 connected semisimple Lie groups; irreducible unitary representations; \(G\)-homogeneous vector bundles; symmetric spaces; \(G\)-equivariant differential operators; admissible representations; \(K\)-types; principal series representations; Poisson transform Semisimple Lie groups and their representations, Harmonic analysis on homogeneous spaces, Differential geometry of symmetric spaces, Homogeneous spaces and generalizations A construction of irreducible representations of the algebra of invariant differential operators on a homogeneous vector bundle and its applications
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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 Cohen-Macaulayness; affine semigroup ring; Hodge algebra; ideals generals by monomials Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Semigroup rings, multiplicative semigroups of rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Other special types of modules and ideals in commutative rings Affine semigroup rings and Hodge 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 polynomial automorphisms; coordinates; Gröbner bases Drensky, V.; Yu, J. -T.: Automorphisms and coordinates of polynomial algebras. Contemp. math. 264, 179-206 (2000) Jacobian problem, Polynomial rings and ideals; rings of integer-valued polynomials, Birational automorphisms, Cremona group and generalizations, Polynomials over commutative rings, Morphisms of commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Automorphisms and coordinates of polynomial 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 groups; Lie algebras; algebraic group actions Lie algebras of linear algebraic groups, Group actions on varieties or schemes (quotients), Derivations, actions of Lie algebras, Lie algebras of vector fields and related (super) algebras From Lie algebras of vector fields to algebraic group action
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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 semigroup algebra; affine semigroup; divisorial ideal; Cohen-Macaulay; polytopal algebra Bruns, Winfried; Gubeladze, Joseph: Semigroup algebras and discrete geometry, Sémin. congr. 6, 43-127 (2002) Toric varieties, Newton polyhedra, Okounkov bodies, Cohen-Macaulay modules, Class groups, Semigroup rings, multiplicative semigroups of rings, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Semigroup algebras and discrete geometry
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative deformation theory; time-space; dirac derivation; phase space; non-commutative scheme; representations of associative algebras; dynamical structure; interaction; algebraic quantum fields; connections Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Noncommutative geometry in quantum theory, Representation theory of associative rings and algebras Geometry of time-spaces. Non-commutative algebraic geometry, applied to quantum 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 level; orbit closure; anticommutative algebra; degeneration; Inönü-Wigner contraction General theory of nonassociative rings and algebras, Families, moduli, classification: algebraic theory, Group actions on varieties or schemes (quotients) Anticommutative algebras of the third level
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite dimensional algebras; hereditary Abelian categories; quasitilted algebras of canonical type; categories of coherent sheaves; tilting objects; endomorphism rings; sincere separating families of semiregular standard tubes; Auslander-Reiten components; tame representation type Lenzing, H.; Skowroński, A., Quasi-tilted algebras of canonical type, Colloq. Math., 71, 161-181, (1996) Representations of quivers and partially ordered sets, Vector bundles on curves and their moduli, Representation type (finite, tame, wild, etc.) of associative algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Module categories in associative algebras Quasi-tilted algebras of canonical 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 canonical algebra; tubular; tilting module; cotilting module; pure-injective module Representations of associative Artinian rings, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Noncommutative algebraic geometry Tilting and cotilting modules over concealed 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 Lie algebras of derivations; normal affine varieties; infinite dimensional graded Lie algebras; derivation module; local analytic algebras; analytic germs; isolated complete intersection singularities; homology; cohomology Siebert, T.: Lie-Algebren von Derivationen und affine algebraische Geometrie über Körpern der Charakteristik 0. Dissertation Berlin 1992 Lie algebras of vector fields and related (super) algebras, Graded Lie (super)algebras, Homological methods in Lie (super)algebras, Modules of differentials, Analytic algebras and generalizations, preparation theorems, Analytical algebras and rings, Local complex singularities, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Cohomology of Lie (super)algebras Lie algebra of derivations and affine algebraic geometry over fields of characteristic zero
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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 characteristic map; symmetric space; Macdonald polynomials Symmetric functions and generalizations, Combinatorial aspects of representation theory, Classical groups (algebro-geometric aspects), Compactifications; symmetric and spherical varieties A characteristic map for the symmetric space of symplectic forms over a finite 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 noncommutative deformation theory; noncommutative deformation algebra; flips; flops; contraction algebra; analytic equivalence types; Dynkin type; derived autoequivalence Donovan, W.; Wemyss, M., Noncommutative deformations and flops, Duke Math. J., 165, 8, 1397-1474, (2016) Formal methods and deformations in algebraic geometry, Minimal model program (Mori theory, extremal rays), Rings arising from noncommutative algebraic geometry Noncommutative deformations and flops
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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 Bethe ansatz; monodromy matrix; commutation relation Slavnov, NA, Multiple communtation relations in the models with \(\mathfrak{gl}(2|1)\) symmetry, Theor. Math. Phys., 189, 1624-1644, (2016) Selfadjoint operator theory in quantum theory, including spectral analysis, Exactly solvable models; Bethe ansatz, Yang-Baxter equations, Structure of families (Picard-Lefschetz, monodromy, etc.), Groups and algebras in quantum theory and relations with integrable systems Multiple commutation relations in the models with \(\mathfrak{gl}(2|1)\) symmetry
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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 B-model; string theory; Calabi-Yau threefold; monodromy Paul S. Aspinwall, Some applications of commutative algebra to string theory, Commutative algebra, Springer, New York, 2013, pp. 25 -- 56. Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mirror symmetry (algebro-geometric aspects), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Structure of families (Picard-Lefschetz, monodromy, etc.), Syzygies, resolutions, complexes and commutative rings Some applications of commutative algebra to string 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 semirings; (semi)modules; bilinear forms; quadratic forms; symmetric forms; orthogonal decomposition Z.~Izhakian, M.~Knebusch, and L.~Rowen, Quadratic and symmetric bilinear forms on modules with unique base over a semiring, \emph{Documenta Mathematica}, 21:773--808, 2016 Semirings, Quadratic and bilinear forms, inner products Quadratic and symmetric bilinear forms on modules with unique base over a semiring
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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 involutive algebra; polarity; projective motion; duoquaternion quasi-non- Euclidean space; bi-quasi-simple group Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Special varieties, Other groups of matrices Elliptic and hyperbolic spaces over the algebra of biquasi-alternions
| 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 algebraic variety; complete intersection; Jacobian module; symmetric matrices; commuting variety Majidi-Zolbanin, M.; Snapp, B.: A note on the variety of pairs of matrices whose product is symmetric, Cont. math. 555 (2011) Complete intersections, Linkage, complete intersections and determinantal ideals, Special matrices A note on the variety of pairs of matrices whose product is symmetric
| 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 translation algebra; central extensions; Weyl algebra; coadjoint orbits; unitary representations Noncommutative geometry in quantum theory, Toric varieties, Newton polyhedra, Okounkov bodies, Coadjoint orbits; nilpotent varieties, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; Brown-Gersten-Quillen spectral sequence; fully bounded noetherian ring \(K\)-theory in geometry, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Algebraic \(K\)-theory of spaces, Computations of higher \(K\)-theory of rings, Spectral sequences, hypercohomology The BGQ spectral sequence for 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 \(C^*\)-algebras; Hilbert module; Calkin algebra; Baker function; \(K\)-homology; \(\tau\)-function; spectral curve; Jacobian torus; infinite-dimensional Grassmann manifold; Burchnall-Chaundy rings Dupré, M.J.; Glazebrook, J.F.; Previato, E., Differential algebras with Banach-algebra coefficients I: from C^{*}-algebras to the K-theory of the spectral curve, Complex anal. oper. theory, 7, 4, 739, (2013) Ext and \(K\)-homology, Kasparov theory (\(KK\)-theory), Jacobians, Prym varieties, Linear operators in \(C^*\)- or von Neumann algebras Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve
| 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 Witt vectors and related rings, Enriched categories (over closed or monoidal categories), Grothendieck groups (category-theoretic aspects), Motivic cohomology; motivic homotopy theory, \(K_0\) of other rings, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Witt vectors and \(K\)-theory of automorphisms via noncommutative motives
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