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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 deformation theory; formal methods; representation theory Laudal O., Algebraic Geometry 687 pp 31-- (1978) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative 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 sheaf of non-commutative noetherian algebras; sheaf of algebraic differential operators; generalized flag varieties Hodges T J, Smith S P. Sheaves of non-commutative algebras and the Beilinson-Bernstein equivalence of categories. Proc Amer Math Soc, 1985, 93: 379--386 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Homogeneous spaces and generalizations, Module categories in associative algebras, Noetherian rings and modules (associative rings and algebras), Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Generalizations (algebraic spaces, stacks), Homological methods in Lie (super)algebras Sheaves of noncommutative algebras and the Beilinson-Bernstein equivalence of categories | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces nonclassical Zariski geometries; noncommutative \(C^*\)-algebras; natural limit construction; gauge field over two-dimensional Riemann surface Zilber, B.: Non-commutative Zariski geometries and their classical limit. Confl. Math. 2, 265--291 (2010) Applications of model theory, Noncommutative algebraic geometry, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory Noncommutative Zariski geometries and their classical limit | 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 space; Dedekind domain Tsuchimoto, Y., Non commutative algebraic spaces of finite type over Dedekind domains, J. math. Kyoto univ., 46, 553-582, (2006) Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects) Non commutative algebraic spaces of finite type over Dedekind domains | 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 products of symmetric powers; injective indecomposable modules; tensor products of exterior powers; tilting modules; symmetric functions; listing modules; partitions; Schur superalgebras; group schemes; representations of general linear groups; symmetric groups; Young modules Donkin, S., Symmetric and exterior powers, linear source modules and representations of Schur superalgebras, \textit{Proc. London Math. Soc.}, 83, 647-680, (2011) Representation theory for linear algebraic groups, Representations of finite symmetric groups, ``Super'' (or ``skew'') structure, Combinatorial aspects of representation theory, Group schemes Symmetric and exterior powers, linear source modules and representations of Schur superalgebras | 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 semialgebraic sets; orbit spaces Bröcker, L, On symmetric semialgebraic sets and orbit spaces, Banach Cent. Publ., 44, 37-50, (1998) Semialgebraic sets and related spaces, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Geometric invariant theory, Actions of groups on commutative rings; invariant theory On symmetric semialgebraic sets and orbit 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 cohomological Hall algebra; Donaldson-Thomas invariants Efimov, A, Cohomological Hall algebra of a symmetric quiver, Compos. Math., 148, 1133-1146, (2012) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, Representations of quivers and partially ordered sets Cohomological Hall algebra of a symmetric quiver | 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 affine hypersurface; torus action; graded algebra; derivation Derivations and commutative rings, Classification of affine varieties Homogeneous locally nilpotent derivations of nonfactorial trinomial algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative quasi-resolution; Artin-Schelter regular algebra; maximal Cohen-Macaulay module; pretzeled quivers Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity | 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 methods of noncommutative geometry; deformation quantization; star products; noncommutative algebraic geometry; relativistic gravitational theories other than Einstein's; including asymmetric field theories Vassilevich, D. V., Tensor calculus on noncommutative spaces, Classical and Quantum Gravity, 27, 9, 095020, 16~pages, (2010) Methods of noncommutative geometry in general relativity, Noncommutative geometry in quantum theory, Deformation quantization, star products, Noncommutative algebraic geometry, Relativistic gravitational theories other than Einstein's, including asymmetric field theories Tensor calculus on 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 the generalized Laguerre polynomials; total symbols of differential operators; the image conjecture; the Jacobian conjecture Wenhua Zhao, A deformation of commutative polynomial algebras in even numbers of variables, Cent. Eur. J. Math. 8 (2010), no. 1, 73 -- 97. Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Differential operators in several variables, Jacobian problem A deformation of commutative polynomial algebras in even numbers of variables | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces unimodular row; stably free module; Euler class group; weak Mennicke symbol; naive homotopy; homotopy orbit Projective and free modules and ideals in commutative rings, Stability for projective modules, Efficient generation of modules, Algebraic cycles Orbit spaces of unimodular rows over smooth real affine 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 Azumaya algebras; noncommutative motives; dg categories; noncommutative algebraic geometry; algebraic \(K\)-theory; cyclic homology; nilinvariance G. Tabuada and M. Van den Bergh, Noncommutative motives of Azumaya algebras, J. Inst. Math. Jussieu 14 (2015), no. 2, 379-403. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and cohomology, \(K\)-theory of schemes Noncommutative motives of Azumaya 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 symmetric spaces; Grassmannians; Lie groups; Lie algebras Differential geometry of symmetric spaces, Global submanifolds, Nonassociative division algebras, Grassmannians, Schubert varieties, flag manifolds Symmetric spaces as 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 commutative homogeneous space; action on a homogeneous space Shashkov, S.A., Commutative homogeneous spaces with one-dimensional stabilizer, Izv. Math., 76, 820-839, (2012) Geometric invariant theory Commutative homogeneous spaces with one-dimensional stabilizer | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lie-complete ring; Lie-nilpotent ring; noncommutative affine scheme; noncommutative localization Topological and ordered rings and modules, Noncommutative local and semilocal rings, perfect rings, Noncommutative algebraic geometry, Nonassociative topological algebras, Ore rings, multiplicative sets, Ore localization Noncommutative localizations of Lie-complete 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 Archimedean quadratic module; representation; non-commutative Positivstellensatz; free convexity Semialgebraic sets and related spaces, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory Quadratic modules, \(C^*\)-algebras, and free convexity | 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 holomorphic functional calculus; affine \(NC \)-space; projective \(NC \)-space; projective line of Heisenberg; formally-radical functions; noncommutative scheme Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative holomorphic functional calculus, affine and projective spaces from \(\operatorname{NC} \)-complete 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 birational transformation; Cremona transform; Sklyanin algebras; non-commutative surfaces Presotto, D.; Den Bergh, M. Van: Noncommutative versions of some classical birational transformations. (2014) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative versions of some classical birational transformations | 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 flops; flips; derived category Van den Bergh, Michel. \(Three-dimensional flops and noncommutative rings\). Duke Math. J. 122 (2004), no. 3, 423-455. Rational and birational maps, Minimal model program (Mori theory, extremal rays), Noncommutative algebraic geometry Three-dimensional flops and noncommutative 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 positive polynomial; sum of squares; free algebra; real algebraic geometry; *-algebra Jakob Cimprič, Noncommutative Positivstellensätze for pairs representation-vector, Positivity 15 (2011), no. 3, 481 -- 495. Noncommutative algebraic geometry, Semialgebraic sets and related spaces, Rings with involution; Lie, Jordan and other nonassociative structures Noncommutative Positivstellensätze for pairs representation-vector | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Grassmannians; bimodules; representable functors; noncommutative vector bundles Nyman, A.: Grassmannians of two-sided vector spaces, Comm. algebra 35, No. 7, 2208-2234 (2007) Grassmannians, Schubert varieties, flag manifolds, Vector spaces, linear dependence, rank, lineability, Noncommutative algebraic geometry, Bimodules in associative algebras Grassmannians of 2-sided vector spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces determinantal varieties; Cohen-Macaulay rings; approximation complex; ideal of relation; symmetric algebra; projective dimension two Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298. Homological dimension and commutative rings, Linkage, complete intersections and determinantal ideals, Determinantal varieties On the ideal of relations of a symmetric algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rigid analytic subspace; symmetric space; affinoid subspaces; semi- stability for the torus action Van Der Put ( M. ) and Voskuil ( H. ) .- Symmetric spaces associated to split algebraic groups over local fields (to appear in Journ. f. d. reine u. angew. Math . 1992 ). Article | MR 1191600 | Zbl 0753.14018 Local ground fields in algebraic geometry, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients) Symmetric spaces associated to split algebraic groups over a local field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; ample sequence; AZ-theorem A. Polishchuk, Noncommutative proj and coherent algebras. Math. Res. Lett. 12 (2005), 63-74. Noncommutative algebraic geometry Noncommutative proj and coherent 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 algebra; finite associative algebra; single-sided units; parametrizable multiplication; post-quantum cryptography; public-key cryptoscheme; hidden logarithm problem; discrete logarithm problem 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 A unified method for setting finite non-commutative associative algebras and their properties | 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 multisymmetric functions; characteristic polynomial; commuting scheme F. Vaccarino, Linear representations, symmetric products and the commuting scheme. \textit{J. Algebra}\textbf{317} (2007), 634-641. MR2362934 Zbl 1155.13007 Actions of groups on commutative rings; invariant theory, Geometric invariant theory Linear representations, symmetric products and the commuting scheme | 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 differential form; Gerstenhaber-Voronov algebra Noncommutative geometry (à la Connes), Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative algebraic geometry, Operations and obstructions in algebraic topology Structures of Gerstenhaber-Voronov algebra on non-commutuative 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 simple one-dimensional representations; plane noncommutative curves; noncommutative quadric; noncommutative Jacobian; noncommutative derivations Noncommutative algebraic geometry, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings Simple modules and non-commutative quadrics | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric groups; elementary symmetric polynomials; invariant theory Representations of finite symmetric groups, Symmetric functions and generalizations, Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Vector and tensor algebra, theory of invariants On vector invariants of the symmetric 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 Algebra with scalar involution; conic algebras Loos, O., Algebras with scalar involution revisited, J. Pure Appl. Algebra, 215, 12, 2805-2828, (2011) Schemes and morphisms, Group actions on varieties or schemes (quotients), Quadratic algebras (but not quadratic Jordan algebras) Algebras with scalar involution revisited | 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 matrix polynomial; factorization; singulärstellensatz; nullstellensatz; resolvable ideal; free singularity locus; free algebra Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Real algebra Factorization of noncommutative polynomials and Nullstellensätze for the free algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Le Bruyn, L.: Noncommutative geometry and Cayley-smooth orders. In: Pure and Applied Mathematics (Boca Raton), 290. Boca Raton, FL: Chapman \& Hall/CRC, 2008 Noncommutative algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to associative rings and algebras Noncommutative geometry and Cayley-smooth orders | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebra; minimal model program; threefold flopping contractions; simultaneous resolution of singularities; Kleinian singularities; contraction algebras Deformations of singularities, Minimal model program (Mori theory, extremal rays), Rings arising from noncommutative algebraic geometry The length classification of threefold flops via noncommutative 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 symmetric algebra DOI: 10.1080/03081088608817742 Varieties and morphisms, Multilinear algebra, tensor calculus Algebraic varieties in the symmetric algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quasi-split symmetric pairs; Schur algebras; quantization of \(q\)-Schur algebras; isotropic flags; Chevalley generators; fixed point subalgebra Universal enveloping (super)algebras, Grassmannians, Schubert varieties, flag manifolds, Schur and \(q\)-Schur algebras Quasi-split symmetric pairs of \(U(\mathfrak{gl}_N)\) and their Schur 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 \(N\)-Kronecker quiver; Beilinson's Theorem; Auslander-Reiten theory; Orlov's Theorem Minamoto, H.: A noncommutative version of Beilinson's theorem, J. algebra 320, 238-252 (2008) Noncommutative algebraic geometry, Representations of quivers and partially ordered sets A noncommutative version of Beilinson's theorem | 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 products; plethysm; graded modules; Schur powers of simple modules; actions; regular representations; symmetric groups Brion, Michel, Sur certains modules gradués associés aux produits symétriques, (Algèbre non commutative, groupes quantiques et invariants, Reims, 1995, Sémin. Congr., vol. 2, (1997), Soc. Math. France Paris), 157-183, MR 1601139 (99e:20054) Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Representations of finite symmetric groups On certain graded modules associated to symmetric products | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \({\mathbb Z}_2\)-graded Lie algebras; symmetric pairs; commuting varieties; Satake diagrams; Cartan subspaces; principal nilpotent pairs D. I. Panyushev, O. Yakimova, Symmetric pairs and associated commuting varieties, Math. Proc. Cambridge Philos. Soc. 143 (2007), 307--321. Simple, semisimple, reductive (super)algebras, Group actions on varieties or schemes (quotients), Lie algebras of linear algebraic groups Symmetric pairs and associated commuting 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 non-commutative geometry; point modules S. P. Smith, Subspaces of non-commutative spaces, Transactions of the American Mathematical Society 354 (2002), 2131--2171. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Categories in geometry and topology Subspaces of non-commutative 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 semisimple complex Lie algebra; involution; irreducible factor of rank one; symmetric pair Simple, semisimple, reductive (super)algebras, Geometric invariant theory, Rings of differential operators (associative algebraic aspects), Lie algebras of vector fields and related (super) algebras, Semisimple Lie groups and their representations Adjoint vector fields on the tangent space of semisimple 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 quantization; compact Hermitian symmetric spaces; Dolbeault-Dirac operator Kr''ahmer, U., and M. Tucker-Simmons, On the Dolbeault-Dirac Operator of Quantized Symmetric Spaces, Trans. of the London Math. Soc. 2 (2015), 33--56. Noncommutative geometry (à la Connes), Grassmannians, Schubert varieties, flag manifolds, Quadratic and Koszul algebras, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups (quantized function algebras) and their representations, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Harmonic analysis on homogeneous spaces, Spin and Spin\({}^c\) geometry, Geometry of quantum groups On the Dolbeault-Dirac operator of quantized 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 homegeneous space; affine embedding; transcental degree; invariant finitely generated subalgebra Actions of groups on commutative rings; invariant theory, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Transcendental field extensions Invariant subalgebras and affine embeddings of homogeneous spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces torus actions; linearization problem; polynomial automorphisms Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Noncommutative Białynicki-Birula theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Noncommutative differential geometry, Rings arising from noncommutative algebraic geometry, Noncommutative geometry in quantum theory Heisenberg modules over real multiplication noncommutative tori and related algebraic structures | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces projective manifold; divisor; Kähler-Einstein metric; bounded symmetric domain; orbifold singularities F. Klein, Riemannsche Flächen, Vorlesungen, gehalten in Göttingen 1891/92, Reprinted by Springer, 1986. Differential geometry of symmetric spaces, \(n\)-folds (\(n>4\)), Compact Kähler manifolds: generalizations, classification A splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Differential geometry of symmetric spaces, Sphere bundles and vector bundles in algebraic topology, Quantum chaos, Geodesic flows in symplectic geometry and contact geometry, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Spectrum, resolvent, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Quantum-classical correspondence on associated vector bundles over locally symmetric spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; quantum groups; quantum 2 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Noncommutative geometry of homogenized quantum \(\mathfrak{sl}(2, \mathbb{C})\) | 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 resolution; determinantal varieties; derived category; noncommutative crepant resolution (NCCR); NCCR; Springer resolution; symplectic group Špenko, Š.; Van den Bergh, M., Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices, (2015), preprint Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Derived categories and associative algebras Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Noncommutative algebraic geometry, Derived categories, triangulated categories Derived categories of noncommutative quadrics and Hilbert squares | 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 stable vector bundles; symmetric forms; group action; equivariant resolution; constant rank matrix; homogeneous bundle; homogeneous variety; quiver representation Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Group actions on varieties or schemes (quotients), Algebraic systems of matrices, Representations of quivers and partially ordered sets A construction of equivariant bundles on the space of symmetric 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 Kunyavskii, B.; Dieulefait, L. V., Arithmetic and Geometry, Equations in matrix groups and algebras over number fields and rings: Prolegomena to a lowbrow noncommutative Diophantine geometry, 264-282, (2015), Cambridge University Press Algebraic geometry over groups; equations over groups, Linear algebraic groups over arbitrary fields, Noncommutative algebraic geometry, Identities, free Lie (super)algebras Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine 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 Calabi-Yau manifolds; toroidal singularities; sheaves of vertex algebras; chiral de Rham complex; Gorenstein toric variety; vertex algebras; Calabi-Yau hypersurfaces L.A. Borisov, \textit{Vertex algebras and mirror symmetry}, \textit{Commun. Math. Phys.}\textbf{215} (2001) 517 [math/9809094] [INSPIRE]. Vertex operators; vertex operator algebras and related structures, Calabi-Yau manifolds (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Operator algebra methods applied to problems in quantum theory Vertex algebras and mirror symmetry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Calabi-Yau manifolds; mirror symmetry; noncommutative periods; Gromov-Witten invariants; invariants of variations; deformation S. Barannikov, Generalized periods and mirror symmetry in dimensions \(n>3\), preprint, http://arXiv.org/abs/math/9903124. Period matrices, variation of Hodge structure; degenerations, Calabi-Yau manifolds (algebro-geometric aspects), Deformations of complex structures, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds Non-commutative periods and mirror symmetry in higher dimensions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine monoid; normalization; monoid algebra Katthän L.: Non-normal affine monoid algebras. Manuscripta Math. 146, 223--233 (2015) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies, Local cohomology and commutative rings Non-normal affine monoid 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 symplectic spaces; biquasialternions Geometry of classical groups, Linear algebraic groups over the reals, the complexes, the quaternions, Classical groups (algebro-geometric aspects) Symplectic spaces over the algebra of biquasialternions | 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 acyclic approximation complex; symmetric algebra Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Approximation complexes of integral symmetric 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 two-sided vector spaces; matrix homomorphisms; noncommutative vector bundle Nyman, A; Pappacena, CJ, Two-sided vector spaces, Linear Algebra Appl., 420, 339-360, (2007) Vector spaces, linear dependence, rank, lineability, Bimodules in associative algebras, Noncommutative algebraic geometry, \(K_0\) of other rings, Computations of higher \(K\)-theory of rings Two-sided vector spaces | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces smooth algebras; smooth non-commutative geometry; non-commutative spaces Kontsevich, Maxim; Rosenberg, Alexander L., Noncommutative smooth spaces, (The Gelfand Mathematical Seminars, 1996-1999, Gelfand Math. Sem., (2000), Birkhäuser Boston Boston, MA), 85-108 Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Rings arising from noncommutative algebraic geometry Noncommutative smooth 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 noncommutative regular rings; cyclic quotient singularities; rational double points; rings of invariants; local dualities; dualizing complexes; Gorenstein singularities; Cohen-Macaulay singularities Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000) Rings arising from noncommutative algebraic geometry, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups and semigroups; invariant theory (associative rings and algebras), Valuations, completions, formal power series and related constructions (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Representation type (finite, tame, wild, etc.) of associative algebras, Cohen-Macaulay modules in associative algebras Noncommutative rational double points | 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 \(NC\)-manifolds; \(NC\)-schemes; commutativization; noncommutative power series; Feynman-Maslov calculus Kapranov M.: Noncommutative geometry based on commutator expansions. J. Reine Angew. Math. 505, 73--118 (1998) Noncommutative algebraic geometry, Noncommutative differential geometry, Associative rings of functions, subdirect products, sheaves of rings Noncommutative geometry based on conductor expansions | 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 width; genus zero Gopakumar-Vafa invariants; birational flopping contraction; three-folds Toda, Y., \textit{non-commutative width and gopakumar-Vafa invariants}, Manuscripta Math., 148, 521-533, (2015) Minimal model program (Mori theory, extremal rays), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry Non-commutative width and Gopakumar-Vafa 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 factorial Schur polynomials; equivariant quantum cohomology; GKM conditions; equivariant Schubert calculus Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus A relation between symmetric polynomials and the algebra of classes, motivated by equivariant Schubert calculus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces pullback domain; Picard group; field extensions; integral representation theory Integral domains, Modules, bimodules and ideals in associative algebras, Picard groups, Algebraic field extensions The Picard group of a certain pullback domain: A noncommutative approach | 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-theory; gauge symmetry Yang-Mills and other gauge theories in quantum field theory, Symmetry breaking in quantum theory, Calabi-Yau manifolds (algebro-geometric aspects) Non-simply-laced symmetry algebras in F-theory on singular 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 \(K\)-theory; Hochschild homology; Hodge structures; non-commutative geometry; equivariant Hodge theory; equivariant topological \(K\)-theory; Hodge-de Rham spectral sequence Noncommutative algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K\)-theory and homology; cyclic homology and cohomology, Equivariant \(K\)-theory Equivariant Hodge theory and noncommutative 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 polynomial identities Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Research exposition (monographs, survey articles) pertaining to linear algebra, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Orders in separable algebras, Trace rings and invariant theory (associative rings and algebras), Actions of groups and semigroups; invariant theory (associative rings and algebras), Exterior algebra, Grassmann algebras, Vector and tensor algebra, theory of invariants, Geometric invariant theory, Prime and semiprime associative rings, Growth rate, Gelfand-Kirillov dimension Rings with polynomial identities and finite dimensional representations of 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 Azumaya algebra; involution; classifying space; Brauer group; Clifford algebra; torsor; generic division algebra Brauer groups of schemes, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings with involution; Lie, Jordan and other nonassociative structures, Maps between classifying spaces in algebraic topology, Brauer groups (algebraic aspects) Azumaya algebras without involution | 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 group; \(\mathfrak{g}\)-endomorphism algebra; module; weight; equivariant cohomology; Dynkin polynomial D. Panyushev, Weight multiplicity free representations,
\[
\mathfrak{g}
\]
-endomorphism algebras, and Dynkin polynomials. J. Lond. Math. Soc. 69, Part 2, 273--290 (2004) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Weight multiplicity free representations, \(\mathfrak g\)-endomorphism algebras, and Dynkin 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 shifted noncommutative symplectic structure; Calabi-Yau algebra Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Poisson manifolds; Poisson groupoids and algebroids Calabi-Yau algebras and the shifted noncommutative symplectic structure | 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 rigid analysis; Drinfel'd symmetric space; Hyodo-Kato cohomology Elmar Grosse-Klönne, Frobenius and monodromy operators in rigid analysis, and Drinfel\(^{\prime}\)d's symmetric space, J. Algebraic Geom. 14 (2005), no. 3, 391 -- 437. \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry, Rigid analytic geometry Frobenius and monodromy operators in rigid analysis, and Drinfel'd's symmetric space | 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 crepant resolutions; NCCR; orders; maximal Cohen Macaulay; non-singular order; derived equivalent M. Wemyss, \textit{Lectures on noncommutative resolutions}, arXiv:1210.2564 [INSPIRE]. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Global theory and resolution of singularities (algebro-geometric aspects) On the noncommutative Bondal-Orlov conjecture | 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 path algebra of a quiver; Karoubi-de Rham complex; noncommutative symplectic manifold Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Methods of noncommutative geometry in general relativity, Representations of quivers and partially ordered sets Noncommutative symplectic manifolds for self-injective Nakayama 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 mirror symmetry; elliptic curves; noncommutative torus; string duality; Fukaya category; Gromov-Witten invariants Calabi-Yau manifolds (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Relationships between surfaces, higher-dimensional varieties, and physics Some steps towards noncommutative mirror symmetry on the torus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative spaces; Frobenius bimodules; sheaves; Noetherian schemes; noncommutative vector bundles; categories of modules; Grothendieck categories Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Bimodules in associative algebras, Module categories in associative algebras, Associative rings of functions, subdirect products, sheaves of rings Frobenius bimodules between 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 certificates of non-negativity; symmetric polynomials; symmetric semialgebraic sets Riener, Cordian, Symmetric semi-algebraic sets and non-negativity of symmetric polynomials, J. Pure Appl. Algebra, 220, 8, 2809-2815, (2016) Semialgebraic sets and related spaces, Topology of real algebraic varieties Symmetric semi-algebraic sets and non-negativity of 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 Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Toric varieties, Newton polyhedra, Okounkov bodies, Exact enumeration problems, generating functions Commutative algebra arising from the Anand-Dumir-Gupta conjectures | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert series; groups generated by pseudo-reflections; Grassmann algebras; relatively free algebras; theorem of Shephard-Todd and Chevalley; algebras of invariants; polynomial algebras; T-ideals; PI-algebras; general linear groups; groups of automorphisms; matrix polynomial identities Domokos, M., Relatively free invariant algebras of finite reflection groups, Trans. Amer. Math. Soc., 348, 2217-2233, (1996) Automorphisms and endomorphisms, \(T\)-ideals, identities, varieties of associative rings and algebras, Vector and tensor algebra, theory of invariants, Exterior algebra, Grassmann algebras, Actions of groups on commutative rings; invariant theory, Reflection and Coxeter groups (group-theoretic aspects), Reflection groups, reflection geometries, Classical groups (algebro-geometric aspects) Relatively free invariant algebras of finite reflection groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces almost-homogeneous spaces; almost-homogeneous varieties; fans; holomorphic involutions; spherical varieties; toric varieties; torus embeddings; Coxeter groups DOI: 10.5802/aif.1171 Complex Lie groups, group actions on complex spaces, Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies, Complex spaces with a group of automorphisms, Complex spaces, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) Complex-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 symmetric spaces; torus embeddings; Coxeter groups Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Homogeneous complex manifolds, Automorphisms of surfaces and higher-dimensional varieties Complex-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 J. William Helton, Scott McCullough, and Mihai Putinar, Matrix representations for positive noncommutative polynomials, Positivity 10 (2006), no. 1, 145-163. Several-variable operator theory (spectral, Fredholm, etc.), Semialgebraic sets and related spaces, Positive matrices and their generalizations; cones of matrices, Noncommutative function spaces Matrix representations for positive noncommutative 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 degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 Sphere bundles and vector bundles in algebraic topology, Determinantal varieties, Characteristic classes and numbers in differential topology, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic) On symmetric and skew-symmetric determinantal 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 algebras of polynomial differential operators; multiparameter deformations; smash products; adelic Grassmannians; projective \(D\)-modules; sheaves; quadrics; Riemann-Hilbert correspondence; quiver varieties; Calogero-Moser spaces V. Baranovsky, V. Ginzburg, and, A. Kuznetsov, Wilson's Grassmannian and a non-commutative quadric, arXiv:math.AG/0203116. Group structures and generalizations on infinite-dimensional manifolds, Rings of differential operators (associative algebraic aspects), Sheaves of differential operators and their modules, \(D\)-modules, Noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds Wilson's Grassmannian and a noncommutative quadric. | 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 completely integrable models; generalized \(\sigma\)-models; nonlinear Toda lattice Müller-Hoissen, Folkert, Introduction to noncommutative geometry of commutative algebras and applications in physics, (Garcia, A.; Lämmerzahl, C.; Macias, A.; Matos, T.; Nuñez, D., Recent developments in gravitation and mathematical physics, Proceedings of the second Mexican school on gravitation and mathematical physics, (1997), Science Network Publishing) Noncommutative topology, Noncommutative differential geometry, Classical field theories, Noncommutative algebraic geometry, Classical or axiomatic geometry and physics Noncommutative geometry and integrable models | 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 racks and quandles; symmetric space; orbits of actions Takahashi, N., Quandle varieties, generalized symmetric spaces, and \(\phi\)-spaces, Transform. Groups, 21, 2, 555-576, (2016) Group actions on varieties or schemes (quotients), Associated groups, automorphisms of Jordan algebras, Differential geometry of symmetric spaces Quandle varieties, generalized symmetric spaces, and \(\phi\)-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 Fréchet algebra; noncommutative geometry; Stein space Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative function spaces, Functional calculus in topological algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Quantizations, deformations for selfadjoint operator algebras, Deformations of associative rings Noncommutative analogues of Stein spaces of finite embedding dimension | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central series filtration; formal geometry; non-affine variety; NC-thickening; NC-connections; bundle of coordinate systems; Gelfand-Kazhdan structure; de Rham space; noncommutative formal geometry; noncommutative disk Noncommutative algebraic geometry, Classical groups (algebro-geometric aspects), Relevant commutative algebra, Differential graded algebras and applications (associative algebraic aspects) Formal geometry for noncommutative manifolds | 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, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), General theory of \(C^*\)-algebras, Loop groups and related constructions, group-theoretic treatment, Topology of vector bundles and fiber bundles Noncommutative geometry and an index theory of infinite-dimensional manifolds | 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 linear congruences L. Manivel and E. Mezzetti, \textit{On linear spaces of skew-symmetric matrices of constant rank}, Manuscripta Math., 117 (2005), pp. 319--331. Grassmannians, Schubert varieties, flag manifolds, Algebraic systems of matrices, Projective techniques in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Representation theory for linear algebraic groups On linear spaces of skew-symmetric matrices of constant rank | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative deformation theory; A-G-modules; McKay correspondence Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory Group actions, orbit spaces, and noncommutative deformation 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 characteristic polynomials; hyperbolic polynomials; determinantal representations; different ideal Hanselka, Christoph, Characteristic polynomials of selfadjoint matrices, (2015), Universität Konstanz, PhD thesis Real algebraic sets, Real algebra, Semidefinite programming Characteristic polynomials of symmetric matrices over the univariate polynomial ring | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces derived category; noncommutative algebraic geometry; AS-regular algebra; Fano-algebra; preprojective algebra; Veroneze algebra; McKay correspondence; noncommutative resolution Noncommutative algebraic geometry Some derived equivalences between noncommutative schemes and algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative motives; separable algebra; Brauer group; twisted flag variety; Hecke algebra; convolution; cyclic sieving phenomenon; dg Azumaya algebra Tabuada, Gonçalo; Van den Bergh, Michel, Noncommutative motives of separable algebras, Adv. Math., 303, 1122-1161, (2016) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Brauer groups (algebraic aspects), Grassmannians, Schubert varieties, flag manifolds, Enriched categories (over closed or monoidal categories), Hecke algebras and their representations, Noncommutative algebraic geometry Noncommutative motives of separable 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 Ginzburg, V.: Non-commutative symplectic geometry, quiver varieties, and operads. Math. Res. Lett. \textbf{8}, 377-400 (2001). arXiv:math/0005165 Infinite-dimensional Lie (super)algebras, Loop space machines and operads in algebraic topology, Generalizations (algebraic spaces, stacks) Non-commutative symplectic geometry, quiver varieties, and operads | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum integrable systems; quiver varieties; quantum cohomologies Yang-Baxter equations, Grassmannians, Schubert varieties, flag manifolds, Representations of quivers and partially ordered sets, Groups and algebras in quantum theory and relations with integrable systems Yang-Baxter algebras, convolution algebras, and 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 moduli space of multi-solutions; noncommutative scalar field theories; Bogomolnyi bound DOI: 10.1007/s00220-002-0734-z Noncommutative geometry (à la Connes), Noncommutative geometry methods in quantum field theory, Parametrization (Chow and Hilbert schemes), Noncommutative geometry in quantum theory On noncommutative multi-solitons | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative tori; real multiplication; Stark numbers; real quadratic fields; spectral triples; noncommutative boundary of modular curves; modular shadows; quantum statistical mechanics Noncommutative topology, Relations with noncommutative geometry, Noncommutative geometry (à la Connes), Quantum dynamics and nonequilibrium statistical mechanics (general), Noncommutative algebraic geometry Noncommutative geometry and arithmetic | 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 artinian Gorenstein; local algebra; Gorenstein sequence; symmetric decomposition; deformation; normal form of dual generator Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative Artinian rings and modules, finite-dimensional algebras, Deformations of singularities, Parametrization (Chow and Hilbert schemes) Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative differential geometry; derivations; noncommutative symplectic structures; quantum mechanics Dubois-Violette, M.: \textit{Some Aspects of Noncommutative Differential Geometry}. Geometry and Nature (Madeira, 1995), pp. 145-157, Contemp. Math., vol. 203. Amer. Math. Soc., Providence (1997) Noncommutative topology, Noncommutative differential geometry, Noncommutative algebraic geometry, Foundations, quantum information and its processing, quantum axioms, and philosophy Some aspects of noncommutative differential 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 algebra; tame algebra; periodic algebra; weighted surface algebra; generalized quaternion type; Cohen-Macaulay module Representation type (finite, tame, wild, etc.) of associative algebras, Singularities of curves, local rings, Injective modules, self-injective associative rings, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Representations of quivers and partially ordered sets, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) Algebras of generalized quaternion type | 0 |
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