text
stringlengths 209
2.82k
| label
int64 0
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 noncommutative formal group laws; near-rings Formal power series rings, Formal groups, \(p\)-divisible groups, Endomorphism rings; matrix rings, Near-rings, Center, normalizer (invariant elements) (associative rings and algebras) The near-ring of some one dimensional noncommutative formal group laws
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; Grothendieck categories; \(\chi\)-condition; quotient categories Noncommutative algebraic geometry Lecture notes on noncommutative algebraic geometry and noncommutative tori
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric spaces; homogeneous spaces Differential geometry of symmetric spaces, Homogeneous spaces and generalizations Geometry of weakly 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 Nullstellensatz; real Nullstellensatz; central division algebra Ordinary and skew polynomial rings and semigroup rings, Elementary questions in algebraic geometry A non-commutative Nullstellensatz
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 quantization Donin, J. and Mudrov, A.: Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra, Quantization, Poisson brackets and beyond (Manchester, 2001 61--79. Contemp. Math., 315. Amer. Math. Soc., Providence, RI, 2002. Quantum groups (quantized enveloping algebras) and related deformations, Deformation quantization, star products, Homogeneous spaces and generalizations \({\mathcal U}_q(sl(n))\)-covariant quantization of symmetric coadjoint orbits via reflection equation 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 holomorphic foliation; weighted projective plane Dynamical aspects of holomorphic foliations and vector fields, Singularities of holomorphic vector fields and foliations, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic moduli problems, moduli of vector bundles New irreducible components of the space of foliations associated to the affine Lie 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 Aspinwall, PS, Topological D-branes and commutative algebra, Commun. Num. Theor. Phys., 3, 445, (2009) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Grothendieck groups, \(K\)-theory and commutative rings, Topological field theories in quantum mechanics, Other elementary particle theory in quantum theory Topological D-branes and commutative 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 V. L, P.; E, V. (ed.), Projective duality and principal nilpotent elements of symmetric pairs, (2005), Providence, RI Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)algebras Projective duality and principal nilpotent elements of symmetric pairs
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces monodromy; Riemann-Hilbert correspondence; Lie-Poisson structure Families, moduli of curves (analytic), Algebraic moduli problems, moduli of vector bundles, Quantum groups (quantized enveloping algebras) and related deformations, Structure of families (Picard-Lefschetz, monodromy, etc.) Algebras of quantum monodromy data and character 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 Dynkin quiver; representations of quivers; root sublattice; prehomogeneous vector space; tilting module Group actions on varieties or schemes (quotients), Representations of quivers and partially ordered sets, Prehomogeneous vector spaces Root sublattices and torus-restriction of prehomogeneous vector spaces associated with Dynkin quivers
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equivariant quantum cohomology; homogeneous spaces; Schubert Calculus; Gromov-Witten invariant DOI: 10.4310/MRL.2009.v16.n1.a2 Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Affine symmetries of the equivariant quantum cohomology ring of rational 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 Components of symmetric wide-matrix 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 Stengle, G.; McEnerney, J., A semi-algebraic closure for commutative algebra, J. pure appl. algebra, 215, 2257-2261, (2011) Ideals and multiplicative ideal theory in commutative rings, Real algebraic sets, Semialgebraic sets and related spaces A semialgebraic closure for commutative 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 field theory; self-dual Yang-Mills; integrable models; solitons; \(D\)-branes; string field theory DOI: 10.1142/S0217751X03016446 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Noncommutative geometry methods in quantum field theory, Soliton equations, Arithmetic ground fields for surfaces or higher-dimensional varieties Noncommutative extended waves and soliton-like configurations in \(N=2\) string theory
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Algèbre non commutative; Groupes quantiques; Invariants; Contact Franco-Belge; Reims (France); Proceedings Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to group theory Noncommutative algebra, quantum groups and invariants. 7th ``Contact Franco-Belge'', Reims, France, June 26--30, 1995
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(n\)-ary algebra; level of algebra; orbit closure; degeneration General theory of nonassociative rings and algebras, Families, moduli, classification: algebraic theory, Group actions on varieties or schemes (quotients) \(n\)-ary algebras of the first level
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Leray spectral sequence; Hodge-Deligne filtration; compact hermitian symmetric space Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Vanishing theorems in algebraic geometry, de Rham cohomology and algebraic geometry, Group varieties, Analytic sheaves and cohomology groups Hodge type subvarieties of compact 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 monogeneity of separable algebras; local-global property; polynomial ring J.-D. Therond, Monog?n??t? d'alg?bres s?parables sur un LG-anneau. Publ. Centre Rech. Math. Pures (I) (Neuch?tel)20, 2-4 (1990). Structure, classification theorems for modules and ideals in commutative rings, Chain conditions, finiteness conditions in commutative ring theory, Separable extensions, Galois theory, Relevant commutative algebra Monogeneity of separable algebras over an LG-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 diagram algebra; symmetric polynomials; category \({\mathcal O}\); Soergel modules; Khovanov algebra; general linear Lie algebra; Serre category; categorification Sartori, A.: A diagram algebra for Soergel modules corresponding to smooth Schubert varieties. Trans. Amer. Math. Soc. (2013). 10.1090/tran/6346 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials, Grassmannians, Schubert varieties, flag manifolds, Graded rings and modules (associative rings and algebras) A diagram algebra for Soergel modules corresponding to smooth Schubert 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 algebraic geometry M. Kuga : Fibre varieties over symmetric space whose fibres are abelian varieties , Proc. of the U.S.-Japan Seminar in Differential Geometry, Kyoto, Japan, 1965, Nippon Hyoronsha, 1966, 72-81. Algebraic geometry Fibred variety over symmetric space whose fibres are abelian varieties
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces highest weight modules; prehomogeneous vector spaces; complex simple Lie algebra; generalized Verma module S.~Suga, Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type, Osaka J. Math. 28 (1991), 323--346. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative ODEs; integrability; symmetries; elliptic curves Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, Relationships between algebraic curves and integrable systems, Noncommutative dynamical systems Non-commutative generalization of integrable quadratic ODE systems
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Commutative rings of differential operators and their modules, Geometric methods in ordinary differential equations Geometric classification of commutative algebras of ordinary differential operators
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lam, T.: Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras. Bull. London Math. Soc. \textbf{43}(2), 328-334 (2011) Symmetric functions and generalizations, Classical problems, Schubert calculus, Connections of Hopf algebras with combinatorics Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polynomial vector fields; invertible Jacobian automorphism Hauser, H.; Muller, G., The Lie algebra of polynomial vector fields and the Jacobian conjecture, Monatsh. Math., 126, 211-213, (1998) Lie algebras of vector fields and related (super) algebras, Automorphisms, derivations, other operators for Lie algebras and super algebras, Automorphisms of curves The Lie algebra of polynomial vector fields and the Jacobian 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 unital quadratic form; base point; vector discriminant; tensor product; orthogonal group scheme; cohomology Loos O. (1996). Tensor products and discriminants of unital quadratic forms over commutative rings. Mh. Math. 122: 45--98 Quadratic spaces; Clifford algebras, Jordan algebras (algebras, triples and pairs), Classical groups (algebro-geometric aspects) Tensor products and discriminants of unital quadratic forms over commutative rings
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Arsen Elkin and Yuri G. Zarhin, Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. II, J. Ramanujan Math. Soc. 25 (2010), no. 1, 1 -- 23. Automorphisms of curves, Jacobians, Prym varieties Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. II
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hasse-Schmidt systems; free commutative algebra schemes; cocommutative coalgebras; bialgebra measurings; module algebras Florian Heiderich, ``On Hasse-Schmidt rings and module algebras'', J. Pure Appl. Algebra217 (2013) no. 7, p. 1303-1315 Coalgebras and comodules; corings, Bialgebras, Schemes and morphisms, Differential algebra, Difference algebra, Derivations and commutative rings On Hasse-Schmidt rings and module 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 coordinate ring; affine algebraic surface; henselization; reduced, connected curve; central K-division algebra; exponent; ramification divisor; etale neighborhood; cyclic algebra of exponent n T. J. Ford,Division algebras over nonlocal henselian surfaces, Pacific Journal of Mathematics147 (1991), 301--310. Finite-dimensional division rings, Brauer groups of schemes, Special surfaces Division algebras over nonlocal Henselian surfaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative crepant resolutions; dimer models; regular tilings; toric singularities Cohen-Macaulay modules, Combinatorial aspects of tessellation and tiling problems, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry Semi-steady non-commutative crepant resolutions via regular dimer 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 central simple algebras with involution; dominant rational equivariant maps; generically free varieties; contravariant equivalences Rings with involution; Lie, Jordan and other nonassociative structures, Finite-dimensional division rings, Group actions on varieties or schemes (quotients) Central simple algebras with involution: a geometric 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 transitive irreducible graded Lie superalgebras; Lie superalgebras of vector fields; supermanifolds; flag homogeneous spaces Onishchik, A. L.: Lie groups and Lie algebras I. Encyclopedia of mathematical sciences 20 (1991) Lie algebras of vector fields and related (super) algebras, Graded Lie (super)algebras, Supermanifolds and graded manifolds, Homogeneous spaces and generalizations, Superalgebras Lie superalgebras of vector fields
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cyclicity problem; finite dimensional division algebra; cyclicity of division rings of Sklyanin algebras; point and line quotient algebras Le Bruyn, L, Sklyanin algebras and their symbols, K-theory, 8, 3-17, (1994) Quantum groups (quantized enveloping algebras) and related deformations, Graded rings and modules (associative rings and algebras), Elliptic curves, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras) Sklyanin algebras and their symbols
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces l-adic representation; symmetric tensor representation; Galois coverings; modular curves; Galois representations Coverings of curves, fundamental group, Algebras and orders, and their zeta functions On the common kernel of certain symmetric tensor representations
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Clifford algebra of a binary form; relative Brauer group; conjugate splittings Haile, D.: On Clifford algebras, conjugate splittings, and function fields of curves. Israel math. Conf. proc. 1, 356-361 (1989) Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry, Algebras and orders, and their zeta functions, General binary quadratic forms On Clifford algebras, conjugate splittings, and function fields of curves
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces augmented algebra; augmentation ideal; finite presentation; semisimple q- dimensional representations G. Baumslag and P. B. Shalen, ''A remark on finitely presented infinite dimensional algebras,''Proc. Amer. Math. Soc.,108, No. 3, 633--635 (1990). Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Matrix equations and identities, Matrices over special rings (quaternions, finite fields, etc.), Rings with polynomial identity, Finite rings and finite-dimensional associative algebras, Varieties and morphisms A remark on finitely presented infinite dimensional algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tropical algebra; \(d\)-base; \(s\)-base; dual base; change of base semirings; supertropical semifields; semiring module; supertropical linear algebra; supertropical bilinear forms; Cauchy-Schwarz spaces; Gram-Schmidt procedure; supertropical quadratic forms Izhakian, Z.; Knebusch, M.; Rowen, L.: Dual spaces and bilinear forms in supertropical linear algebra, Linear multilinear algebra 60, No. 7, 865-883 (2012) Vector spaces, linear dependence, rank, lineability, Theory of matrix inversion and generalized inverses, Determinants, permanents, traces, other special matrix functions, Semirings, Matrices over special rings (quaternions, finite fields, etc.), Quadratic and bilinear forms, inner products Dual spaces and bilinear forms in supertropical linear 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 moduli space of curves; noncommutative geometry; Lie algebra cohomology; topological field theory; Batalin-Vilkovisky formalism Families, moduli of curves (analytic), Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Applications of Lie (super)algebras to physics, etc., Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Applications of deformations of analytic structures to the sciences, Topological field theories in quantum mechanics Classes on the moduli space of Riemann surfaces through a noncommutative Batalin-Vilkovisky formalism
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Widdows, D.: Quaternionic algebra described by \(Sp(1)\) representations. Q. J. Math. 54, No. 4, 463-481 (2003) Holomorphic bundles and generalizations, Finite-dimensional division rings Quaternionic algebra described by \(Sp(1)\) representations
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; zeta functions Noncommutative algebraic geometry, Zeta and \(L\)-functions in characteristic \(p\), Applied homological algebra and category theory in algebraic topology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Noncommutative Weil 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 trace form; central simple algebra; trace map; norm form; discriminant; determinant; Clifford algebra; Brauer group J.-P. Tignol, La norme des espaces quadratiques et la forme trace des algèbres simples centrales, Publ. Math. Fac. Sci. Besançon, 92/93--93/94, Univ. Franche-Comté, Besançon Quadratic forms over general fields, Quadratic spaces; Clifford algebras, Brauer groups of schemes The norm of quadratic spaces and the trace form of central simple algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative deformation theory; gauge group; moduli suite; algebraic physics; noncommutative parameters; local artinian noncommutative algebra Noncommutative algebraic geometry, Deformations of singularities, Local deformation theory, Artin approximation, etc., Formal methods and deformations in algebraic geometry Noncommutative deformations of thick 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 textbook; commutative algebra; commutative rings; local rings; Dedekind rings; normalization; rings of integers; affine algebras; algebraic curves; singularities of curves Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Arithmetic rings and other special commutative rings, Integral domains, General commutative ring theory, Algebraic functions and function fields in algebraic geometry An introduction to commutative algebra. From the viewpoint of normalization
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces local systems; rings of invariants; mixed invariants; mixed concomitants; skein algebra; cluster algebra; quantum cluster algebra; quantum torus; triangulation of surfaces DOI: 10.2140/agt.2013.13.2429 Actions of groups on commutative rings; invariant theory, Algebraic moduli problems, moduli of vector bundles, Topological methods in group theory Character algebras of decorated \(SL_{2}(\mathbb C)\)-local systems
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Greenberg algebra; ramified Witt vectors Witt vectors and related rings, Group schemes Greenberg algebras and ramified Witt vectors
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces crepant resolutions; rational singularities; endomorphism rings Dao, H; Faber, E; Ingalls, C, Noncommutative (crepant) desingularisations and the global spectrum of commutative rings, Algebras Represent. Theory, 18, 633-664, (2015) Singularities in algebraic geometry, Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Noncommutative (crepant) desingularizations and the global spectrum of commutative rings
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetrizable Cartan matrices; quivers Representations of quivers and partially ordered sets, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Cluster algebras, Grassmannians, Schubert varieties, flag manifolds Quivers with relations for symmetrizable Cartan matrices and algebraic Lie 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 noncommutative polynomials Dym, H.; Greene, J. M.; Helton, J. W.; Mccullough, S. A.: Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form, J. anal. Math. 108, 19-59 (2009) Several-variable operator theory (spectral, Fredholm, etc.), Real polynomials: analytic properties, etc., Multilinear and polynomial operators, Eigenvalues, singular values, and eigenvectors, Real algebraic and real-analytic geometry, Rings arising from noncommutative algebraic geometry Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Fusion categories, modular tensor categories, modular functors, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Drinfel'd modules; higher-dimensional motives, etc., Pencils, nets, webs in algebraic geometry, Applications of Lie (super)algebras to physics, etc., Axiomatic quantum field theory; operator algebras, Constrained dynamics, Dirac's theory of constraints Cardy algebras, sewing constraints and string-nets
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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-canonical Artin algebras; concealed-canonical Artin algebras; coherent sheaves over exceptional curves Representations of associative Artinian rings, Vector bundles on curves and their moduli A note on concealed-canonical Artin 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 conjugacy classes; groups of unitriangular matrices; numbers of conjugacy classes; zeta functions G. R. Robinson, \textit{Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras}, J. Group Theory \textbf{1} (1998), no. 3, 271-274. Linear algebraic groups over arbitrary fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Conjugacy classes for groups Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ordinary abelian variety; locally symmetric space; Kottwitz formula Arithmetic aspects of modular and Shimura varieties, Abelian varieties of dimension \(> 1\), Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification Ordinary points \(\bmod\, p\) of \(\operatorname{GL}_n(\mathbb{R})\)-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 truncated Brown-Peterson spectrum; topological modular forms; \(\mathcal E_\infty\)-ring map Stable homotopy theory, spectra, Algebraic moduli problems, moduli of vector bundles, Twisted \(K\)-theory; differential \(K\)-theory, Topological \(K\)-theory, Steenrod algebra Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine Lie algebra; quantum toroidal algebra; Hilbert schemes; quiver varieties Nakajima, H.: Geometric construction of representations of affine algebras. In: Proceedings of the International Congress of Mathematicians, Volume I, 2003, pp 423--438 Quantum groups (quantized enveloping algebras) and related deformations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Group actions on varieties or schemes (quotients), Representations of quivers and partially ordered sets, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics Geometric construction of representations of 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 rings of differential operators; chiral differential operators; twisted differential operators; vertex algebra; representations Arakawa, T., Chebotarov, D., Malikov, F.: Algebras of twisted chiral differential operators and affine localization of \({\mathfrak{g}}\)-modules. Sel. Math. (N.S.), \textbf{17}(1), 1-46 (2011). arXiv:0810.4964 Vertex operators; vertex operator algebras and related structures, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Algebras of twisted chiral differential operators and affine localization of \(\mathfrak{g}\)-modules
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Clifford algebra; Dirac operator Noncommutative algebraic geometry Noncommutative geometry and the difraction one dimensional network
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 algebras; cellular resolutions; crepant resolutions; bimodule resolutions; toric algebras; dimer models; smooth toric Fano threefolds; tilting bundles Craw, A; Quintero Vélez, A, Cellular resolutions of noncommutative toric algebras from superpotentials, Adv. Math., 229, 1516-1554, (2012) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Syzygies, resolutions, complexes in associative algebras, Representations of quivers and partially ordered sets Cellular resolutions of noncommutative toric algebras from superpotentials.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 cycles; \(K\)-cohomology; Severi-Brauer varieties; central simple algebras; algebraic groups; homogeneous varieties Algebraic cycles, Finite-dimensional division rings Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 semi-invariants; Euclidean quivers; generators; Schofield semi-invariants Di Trapano, C.: The algebras of semi-invariants of Euclidean quivers, Commun. algebra 39, No. 11, 4357-4373 (2011) Representations of quivers and partially ordered sets, Actions of groups on commutative rings; invariant theory, Geometric invariant theory The algebras of semi-invariants of Euclidean quivers.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces global Weyl modules; hyper map algebras; local Weyl modules; Weyl functor Infinite-dimensional Lie (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Affine algebraic groups, hyperalgebra constructions Weyl modules and Weyl functors for hyper-map 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 De Commer, K.; Neshveyev, S., Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras, Transform. groups, 20, 3, 725-742, (2015) Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds Quantum flag manifolds as quotients of degenerate quantized universal enveloping 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 dual polar space; half-spin Grassmann space M. Kwiatkowski and M. Pankov, ''Opposite relation on dual polar spaces and half-spin Grassmann spaces,'' Results Math., 54, Nos. 3-4, 301--308 (2009). Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds, Polar geometry, symplectic spaces, orthogonal spaces Opposite relation on dual polar spaces and half-spin Grassmann 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 non-commutative resolution; Springer resolution; non-commutative desingularization; determinantal variety; Young diagram; Young quiver; resolution of determinantal variety; Orlov's conjecture; tilting module Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Determinantal varieties, Rings arising from noncommutative algebraic geometry, Representation theory for linear algebraic groups Non-commutative desingularization of determinantal varieties. II: Arbitrary minors
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Iwasawa non commutative main conjecture; \(\ell\)-adic Lie extensions; separated scheme [17] --, `` On a noncommutative Iwasawa main conjecture for varieties over finite fields {'', \(J. Eur. Math. Soc. (JEMS)\)16 (2014), no. 2, p. 289-325. &MR 31} Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Iwasawa theory, Finite ground fields in algebraic geometry On a noncommutative Iwasawa main conjecture for varieties over finite fields
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equivariant cohomology; Gromov-Witten invariant; Lagrangian Grassmannian; interpolation; Schubert structure constant; symmetric polynomial; quantum cohomology Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Symmetric functions and generalizations, Equivariant homology and cohomology in algebraic topology An identity involving symmetric polynomials and the geometry of Lagrangian 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 Cremona transformations; Sklyanin elliptic algebras; Feigin-Odesskii-Sklyanin algebras Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Birational automorphisms, Cremona group and generalizations, Rational and birational maps, Poisson manifolds; Poisson groupoids and algebroids, Momentum maps; symplectic reduction Quadro-cubic Cremona transformations and Feigin-Odesskii-Sklyanin algebras with 5 generators
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hopf algebras; triangular \(n \times n\) matrices; group valued functor; comultiplication; bigebra; antipode; anti-homomorphism; generators; Hopf ideals; deformations; unipotent algebraic group schemes; quantum universal enveloping algebra Gerritzen, L.: On Hopf algebras related to triangular matrices. Arch. math. 63, 302-310 (1994) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Endomorphism rings; matrix rings, Group schemes On Hopf algebras related to triangular 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 Supersymmetric field theories in quantum mechanics, Superalgebras, Vertex operators; vertex operator algebras and related structures, Applications of Lie (super)algebras to physics, etc., Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Mirror symmetry (algebro-geometric aspects) On the correspondence between mirror-twisted sectors for \(N = 2\) supersymmetric vertex operator superalgebras of the form \(V \otimes V\) and \(N = 1\) Ramond sectors of \(V\)
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces solitons monopoles and instantons; non-commutative geometry DOI: 10.1007/jhep01(2010)008 Noncommutative geometry in quantum theory, Other elementary particle theory in quantum theory, Soliton solutions, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Noncommuting coordinates and magnetic monopoles
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces classical groups; generalized Schur algebras; hyperalgebras; inverse systems Liu, Q, Schur algebras of classical groups II, Commun. Algebra, 38, 2656-2676, (2010) Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Schur and \(q\)-Schur algebras, Module categories in associative algebras Schur algebras of classical groups. II.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Krichever-Novikov algebras; ultra spherical polynomials; central extension; affine Kac-Moody algebras; cocycles M. R. Bremner, ''Four-point affine Lie algebras,''Proc. Amer. Math. Soc.,123, 1981--1989 (1995). Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Curves in algebraic geometry Four-point affine Lie algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras) Noncommutative projective 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 conformal geometric algebra; Darboux Dupin cyclide; quadric surface; double conformal/Darboux cyclide geometric algebra; Clifford geometric algebra Easter, R.B., Hitzer, E.: \textit{Double conformal space-time algebra}, AIP Conference Proceedings, vol. 1798, AIP Publishing, p. 020066 (2017) Clifford algebras, spinors, Surfaces in Euclidean and related spaces, Euclidean analytic geometry, General theory of distance geometry, Rational and ruled surfaces Double conformal geometric 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 splitting of vector bundle; classification of indecomposable vector bundles on a complete regular absolutely irreducible curve A. Tillmann, Unzerlegbare Vektorbündel über algbraischen Kurven, Dissertation. Fern Universität, Hagen, 1983. Special algebraic curves and curves of low genus Unzerlegbare Vektorbündel über algebraischen Kurven
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces; versal deformations; deformation theory; Gerstenhaber bracket; Hochschild complex DOI: 10.1080/00927870902747845 Formal methods and deformations in algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Local deformation theory, Artin approximation, etc., Deformations of associative rings, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Homological methods in Lie (super)algebras, Graded Lie (super)algebras The moduli space of 3-dimensional associative algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces subintegral extension; Picard group; seminormalization; graded commutative ring Roberts Leslie G and Singh Balwant, Subintegrality, invertible modules and the Picard Group,Compos. Math. 85 (1993) 249--279 Extension theory of commutative rings, Integral closure of commutative rings and ideals, Picard groups Subintegrality, invertible modules and the Picard 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 Artin-Schelter regular; Jordan plane; non-Noetherian; universal enveloping algebra; Witt algebra Sierra, S.J.; Walton, C., Maps from the enveloping algebra of the positive Witt algebra to regular algebras, Pacific J. math., 284, 2, 475-509, (2016) Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related algebras Maps from the enveloping algebra of the positive Witt algebra to regular 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 determinantal varieties Piontkowski, J., Linear symmetric determinantal hypersurfaces, Michigan Math. J. 54 (2006), 117--146. Determinantal varieties, Rational and ruled surfaces Linear symmetric determinantal hypersurfaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces crossed modules; nonabelian cohomology; reductive groups; abelian cohomology González-Avilés, Cristian D. Quasi-abelian crossed modules and nonabelian cohomology \textit{J.~Algebra}369 (2012) 235--255 Math Reviews MR2959794 Étale and other Grothendieck topologies and (co)homologies, Cohomology theory for linear algebraic groups, Group schemes, Generalizations (algebraic spaces, stacks), Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) Quasi-abelian crossed modules and nonabelian cohomology
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bernardi A.: Ideals of varieties parameterizing certain symmetric tensors. J. P. A. Algebra 212(6), 1542--1559 (2008) Projective techniques in algebraic geometry, Rational and ruled surfaces, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Ideals of varieties parameterized by certain symmetric tensors
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Donaldson-Thomas theory; wall crossing; vertex operator; Yound diagram Nagao, Kentaro, Non-commutative {D}onaldson--{T}homas theory and vertex operators, Geometry \& Topology, 15, 3, 1509-1543, (2011) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Non-commutative Donaldson-Thomas theory and vertex operators
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Donaldson-Thomas theory; wall-crossing; vertex operator K. Nagao, ``Noncommutative Donaldson-Thomas theory and vertex operators,'' . In press, http://arxiv.org/abs/0910.5477. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects) Non-commutative Donaldson-Thomas theory and vertex operators
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quiver algebra; Donaldson-Thomas invariants; conifolds B. Szendroi, Non-commutative Donaldson-Thomas invariants and the conifold. \textit{Geom. Topol. }12(2008), no. 2, 1171--1202.MR 2403807 Zbl 1143.14034 154S. Govindarajan, A. J. Guttmann, and V. Subramanyan Calabi-Yau manifolds (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry Non-commutative Donaldson-Thomas invariants and the conifold
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces DOI: 10.1088/1126-6708/2002/08/050 Noncommutative geometry in quantum theory, Noncommutative algebraic geometry, Mirror symmetry (algebro-geometric aspects), Noncommutative geometry methods in quantum field theory, Topological field theories in quantum mechanics, Deformation quantization, star products, String and superstring theories; other extended objects (e.g., branes) in quantum field theory Kronecker foliation, D1-branes and Morita equivalence of noncommutative two-tori
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimple complex Lie groups; invariant theory; skew multiplicity-free actions; supersymmetric algebras; finite-dimensional representations; skew multiplicity-free representations; exterior algebras Representation theory for linear algebraic groups, Semisimple Lie groups and their representations, Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Vector and tensor algebra, theory of invariants Multiplicity-free super 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 Kac-Moody algebras; Krichever-Novikov algebras; affine algebras; central extensions; monodromy groups; highest weight modules; highest weight representations; energy-momentum tensors O. K. Sheinman, ''Representations of Krichever-Novikov Algebras,'' in Topics in Topology and Mathematical Physics, Ed. by S. P. Novikov (Am.Math. Soc., Providence, R.I., 1995), pp. 185--197. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences Representations of Krichever-Novikov 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 quantum groups; representations; simply laced affine Kac-Moody algebra; tensor category; intersection cohomology of infinite-dimensional Schubert varieties; Knizhnik-Zamolodchikov equations D.~Kazhdan and G.~Lusztig 1991 Affine Lie algebras and quantum groups \textit{Internat. Math. Res. Notices}1991 2 21--29 Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Affine Lie algebras and quantum 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 invariant; covariant; system of homogeneous polynomial equations Projective techniques in algebraic geometry, Complete intersections, Special algebraic curves and curves of low genus On the symmetric powers \(\mathbb{P}_n^{(g)}\) of a complex projective space \(\mathbb{P}_n\)
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric spaces; symmetric varieties; involutions of algebraic groups; orbit decompositions Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, General properties and structure of real Lie groups, Semisimple Lie groups and their representations, Representation theory for linear algebraic groups, Differential geometry of symmetric spaces On orbit decompositions for symmetric \(k\)-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 Borel conjecture; \(L^ 2\)-cohomology of locally symmetric varieties; modular curves; automorphic forms; intersection cohomology; Zucker conjecture Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) A brief introduction to the \(L^ 2\)-cohomology of locally symmetric varieties
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces closed subspaces; non-commutative algebraic geometry Smith, S. Paul, Corrigendum to ``Maps between non-commutative spaces''[MR2052602], Trans. Amer. Math. Soc., 368, 11, 8295-8302, (2016) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Corrigendum to: ``Maps between 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 noncommutative algebraic geometry; noncommutative Gauge theory; instantons; vortices Cirio, LS; Landi, G; Szabo, RJ, Instantons and vortices on noncommutative toric varieties, Rev. Math. Phys., 26, 1430008, (2014) Noncommutative algebraic geometry, Noncommutative geometry methods in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Yang-Mills and other gauge theories in quantum field theory Instantons and vortices on noncommutative toric 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 regular prehomogeneous vector spaces; orbital decomposition Linear algebraic groups over arbitrary fields, Linear algebraic groups over finite fields, Homogeneous spaces and generalizations A prehomogeneous vector space of characteristic 3
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Waring rank; symmetric tensors; homogeneous polynomials; ideals of points; Hilbert function; apolarity Polynomials, factorization in commutative rings, Secant varieties, tensor rank, varieties of sums of powers, Polynomial rings and ideals; rings of integer-valued polynomials, Projective techniques in algebraic geometry On minimal decompositions of low rank symmetric tensors
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum deformations; highest weight modules; semisimple Lie algebras Kamita, A.: Quantum deformations of certain prehomogeneous vector spaces III. Hiroshima math. J. 30, 79-115 (2000) Quantum groups (quantized enveloping algebras) and related deformations, Homogeneous spaces and generalizations, Semisimple Lie groups and their representations, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups Quantum deformations of certain prehomogeneous vector spaces. III
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fewnomial; derivation Lie algebra; Yau number Complex surface and hypersurface singularities, Singularities in algebraic geometry, Local complex singularities On the derivation Lie algebras of fewnomial singularities
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational algebra; rational ideal; affine algebraic set; Nullstellensatz Relevant commutative algebra, Categories in geometry and topology, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) Rational algebras and algebraic varieties over an arbitrary commutative 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 minimal number of symbols; central simple algebra; Merkurjev-Suslin theorem; tensor power; center; matrix algebra; tensor product of symbols J.-P. Tignol, On the length of decompositions of central simple algebras in tensor products of symbols, Methods in ring theory (Antwerp, 1983) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 129, Reidel, Dordrecht, 1984, pp. 505 -- 516. Finite rings and finite-dimensional associative algebras, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), Brauer groups of schemes, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Division rings and semisimple Artin rings On the length of decompositions of central simple algebras in tensor products of symbols
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 spaces of matrices; Hermitian matrices; symmetric matrices; maximal dimensions; ranks Algebraic systems of matrices, Finite fields (field-theoretic aspects), Projective techniques in algebraic geometry, Hermitian, skew-Hermitian, and related matrices, Matrices over special rings (quaternions, finite fields, etc.) Linear spaces of matrices, symmetric matrices or Hermitian matrices with a fixed rank over a finite field
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric matrices; alternating blocks; Grassmannian; matrices with integer entries; computer algebra Hermitian, skew-Hermitian, and related matrices, Matrices of integers, Grassmannians, Schubert varieties, flag manifolds, Symbolic computation and algebraic computation Symmetric matrices with alternating blocks
| 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.