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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebra; noncommutative projective schemes; derived categories; Fourier-Mukai transforms Noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories and associative algebras Kernels for noncommutative projective schemes
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces locally nilpotent derivation; free associative algebra; automorphism Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Derivations, actions of Lie algebras, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomial rings and ideals; rings of integer-valued polynomials, Polynomials over commutative rings, Derivations and commutative rings Locally nilpotent derivations and automorphisms of free associative algebra with two 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 invariant differential operators; Lie algebra of vector fields; Gelfand-Fuchs cohomology; deformation Deformation quantization, star products, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras Invariant bilinear operators and the second \(\mathfrak{sl}(2)\)-relative cohomology of the Lie algebra of vector fields on \(\mathbb{R}\)
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology class as Azumaya algebra; second cohomology; Brauer group Bogomolov, F. A.; Landia, A. N., \(2\)-cocycles and Azumaya algebras under birational transformations of algebraic schemes, Algebraic geometry (Berlin, 1988), Compositio Math., 0010-437X, 76, 1-2, 1-5, (1990) (Co)homology theory in algebraic geometry, Algebraic cycles, Brauer groups of schemes, Realizing cycles by submanifolds 2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lie algebra of vector fields; polynomial Lie algebras Бухштабер, В. М.; Лейкин, Д. В., Функц. анализ и его прил., 36, 4, 18-34, (2002) Lie algebras of vector fields and related (super) algebras, Applications of Lie algebras and superalgebras to integrable systems, Singularities in algebraic geometry Polynomial 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 algebra of endomorphisms of an abelian variety; non-algebraizable complex tori Oort, F.; Zarhin, Yu.G.: Endomorphism algebras of complex tori. Math. ann. 303, 11-29 (1995) Analytic theory of abelian varieties; abelian integrals and differentials, Compact analytic spaces, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), Birational geometry, Toric varieties, Newton polyhedra, Okounkov bodies Endomorphism algebras of complex 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 point modules; constacted points; stable scheme; naïve blowing up; strongly noetherian algebras; connected graded algebras; cg algebras Laumon, G., Moret-Bailly, L.: Champs algébriques. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 39, Springer, Berlin (2000) Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) A class of noncommutative projective 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 spherical varieties Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions, Geometric invariant theory, Group actions on varieties or schemes (quotients) On extended weight monoids of spherical 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 infinite symmetric products; hypercube conjecture; Fourier transform; Chow homology; Chow rings; Chow cohomology; eigenvalues of an abelian variety Kimura, S.; Vistoli, A., Chow rings of infinite symmetric products, Duke Math. J., 85, 411-430, (1996) Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties Chow rings of infinite symmetric products
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Kac-Moody algebras; Krichever-Novikov algebras; affine algebras; almost graded algebras; central extensions; Weyl-Kac character formula; highest weight modules; coadjoint orbit method Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces; Weierstrass points; gap sequences, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Orbits and representation of Krichever-Novikov affine-type 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 quantized enveloping algebra; quivers; perverse sheaves; quantum groups; character sheaves Lusztig, G., Quivers, perverse sheaves, and quantized enveloping algebras, \textit{J. Amer. Math. Soc.}, 4, 2, 365-421, (1991) Quantum groups (quantized enveloping algebras) and related deformations, Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Quivers, perverse sheaves, and quantized 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 finite-dimensional algebras; dense-orbit property; Schur-representation-finite Chindris, C., Kinser, R., Weyman, J.: Module varieties and representation type of finite-dimensional algebras. Int. Math. Res. Not. IMRN (3), 631-650 (2015) \textbf{(MR 3340331)} Representations of associative Artinian rings, Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on varieties or schemes (quotients) Module varieties and representation type of 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 rsymmetric tensor rank; veronese variety Projective techniques in algebraic geometry Homogeneous polynomials with two sets computing their symmetric tensor rank
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hopf algebras; Witt vectors; Dieudonné modules; local rings; cocommutative bialgebras; numbers of lifts; Honda systems DOI: 10.1016/S0022-4049(00)00163-8 Group schemes Monogenic bialgebras over finite fields and rings of 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 determinantal rings; Cohen Macaulay ideal; initial algebra; Ulrich ideals; multiplicity Bruns, W.; Römer, T.; Wiebe, A., Initial algebras of determinantal rings, Cohen-Macaulay and ulrich ideals, \textit{Michigan Math. J.}, 53, 71-81, (2005) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Towber, J.: Two new functors from modules to algebras. J. Alg.47, 80--104 (1977) Vector and tensor algebra, theory of invariants, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of finite symmetric groups, Theory of modules and ideals in commutative rings, Grassmannians, Schubert varieties, flag manifolds Two new functors from modules to 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 Frobenius module; Galois representation; local model; affine Grassmannian Pappas, G.; Rapoport, M., \(###\)odules and coefficient spaces, Mosc. Math. J., 9, 625-663, (2009) Rigid analytic geometry, Galois representations, Grassmannians, Schubert varieties, flag manifolds \(\Phi \)-modules and coefficient 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 Krichever-Novikov algebras; meromorphic vector fields M. Schlichenmaier, ''Central Extensions and Semi-Infinite Wedge Representations of Krichever-Novikov Algebras for More than Two Points,'' Lett.Math. Phys. 20, 33--46 (1990). Differentials on Riemann surfaces, Curves in algebraic geometry, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two 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 classification of 2-simple prehomogeneous vector spaces; P.V.- equivalences Tatsuo Kimura, Shin-ichi Kasai, Masanobu Taguchi, and Masaaki Inuzuka, Some P.V.-equivalences and a classification of 2-simple prehomogeneous vector spaces of type \?\?, Trans. Amer. Math. Soc. 308 (1988), no. 2, 433 -- 494. Homogeneous spaces and generalizations, Algebraic numbers; rings of algebraic integers, Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields Some P.V.-equivalences and a classification of 2-simple prehomogeneous vector spaces of type 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 abelian variety; commuting differential operators; integrable system A. E. Mironov, Commutative rings of differential operators corresponding to multidimensional algebraic varieties, Sibirsk. Mat. Zh. 43 (2002), no. 5, 1102 -- 1114 (Russian, with Russian summary); English transl., Siberian Math. J. 43 (2002), no. 5, 888 -- 898. Analytic theory of abelian varieties; abelian integrals and differentials, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relationships between algebraic curves and integrable systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, KdV equations (Korteweg-de Vries equations) Commutative rings of differential operators corresponding to multidimensional algebraic varieties
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Krichever-Novikov algebras; applications to the geometry of moduli spaces; Knizhnik-Zamolodchikov equations; second-order Casimir operators of affine Krichever-Novikov algebras; fermion representations; semi-Casimirs; tangent spaces to the moduli spaces of Riemann surfaces Virasoro and related algebras, Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; gauge symmetry Acharyya, N.; Chandra, N.; Vaidya, S., Noncommutative vortices and instantons from generalized Bose operators, JHEP, 12, 110, (2011) Yang-Mills and other gauge theories in quantum field theory, Noncommutative geometry methods in quantum field theory, Soliton solutions, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Applications of group representations to physics and other areas of science Noncommutative vortices and instantons from generalized Bose 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 finite dimensional nonassociative algebras; contractions; degeneracy; closure of orbit Gorbatsevich, V. V., Contractions and degenerations of finite-dimensional algebras, Sov. Math. (Iz. VUZ)., 35, 10, 17-24, (1991) General theory of nonassociative rings and algebras, Automorphisms, derivations, other operators (nonassociative rings and algebras), Vector and tensor algebra, theory of invariants, Special varieties On contractions and degeneracy of 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 Jacobian conjecture; Mathieu subspace; ideal; radical Essen, A.; Zhao, W., Mathieu subspaces of univariate polynomial algebras, Journal of Pure and Applied Algebra, 217, 1316-1324, (2013) Ideals and multiplicative ideal theory in commutative rings, Jacobian problem, Polynomial rings and ideals; rings of integer-valued polynomials Mathieu subspaces of univariate polynomial algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces path models; quantum Frobenius maps; standard monomial theory; reductive algebraic groups; spaces of sections of effective line bundles; generalized flag varieties; semisimple algebraic groups; Kac-Moody groups; quantum groups Littelmann, P.\!, Contracting modules and standard monomial theory for symmetrizable Kac--Moody algebras, J. Amer. Math. Soc., 11, 3, 551-567, (1998) Representation theory for linear algebraic groups, Quantum groups (quantized enveloping algebras) and related deformations, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients) Contracting modules and standard monomial theory for symmetrizable Kac-Moody 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 integrally closed polynomial algebra; polynomial ring over a principal ideal domain; freeness of projective modules; Picard group; monomials; seminormal Projective and free modules and ideals in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Picard groups Triviality of groups \(SK_ 0\) and Pic for algebras generated by monomials and Hermitian seminormal 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 quadratic congruences; exceptional bundles on projective spaces Projective techniques in algebraic geometry, Quadratic and bilinear forms, inner products, Geometric constructions in real or complex geometry Nonsymmetric orthogonal geometry and quadratic congruences
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces instantons; noncommutative geometry M. Hamanaka and T. Nakatsu, \textit{ADHM Construction of Noncommutative Instantons}, arXiv:1311.5227 [INSPIRE]. Noncommutative algebraic geometry, Noncommutative geometry methods in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Exact construction of noncommutative instantons
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebra of invariants; contraction; semidirect product; Takiff algebra; current Lie algebra Panyushev, D., On the coadjoint representation of \(\mathbb{Z}_2\)-contractions of reductive Lie algebras, Adv. math., 213, 380-404, (2007) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on affine varieties, Simple, semisimple, reductive (super)algebras On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive 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 degeneration; rigid algebra; orbit closure; anticommutative algebra; Leibniz algebra; Lie algebra Leibniz algebras, Fibrations, degenerations in algebraic geometry, Group actions on varieties or schemes (quotients) Degenerations of Leibniz and anticommutative 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 irreducible polynomial; polygon; polytope; polynomial representation; real algebraic geometry; semi-algebraic set Averkov G.: Notes on the algebra and geometry of polynomial representations. Beiträge Algebra Geom. 50(1), 271--282 (2009) Semialgebraic sets and related spaces, \(n\)-dimensional polytopes Notes on the algebra and geometry of polynomial 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 simple prehomogeneous vector space Kimura, T.; Ueda, K.; Yoshigaki, T.: A classification of 3-simple prehomogeneous vector spaces of nontrivial type. Japan J. Math. (N.S.) 22, 159-198 (1996) Homogeneous spaces and generalizations, Simple, semisimple, reductive (super)algebras A classification of 3-simple prehomogeneous vector spaces of nontrivial 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 Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Representations of quivers and partially ordered sets Quantum Weyl algebras and reflection equation algebras at a root of unity
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces exponential sums; reductive group; finite dimensional rational G-module; Zariski open G-orbit; complex irreducible representation; Fourier transforms; principal series representation; principal minor Linear algebraic groups over finite fields, Representation theory for linear algebraic groups, Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc., Homogeneous spaces and generalizations Vector valued invariants of prehomogeneous vector spaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces exponential sums; reductive group; finite dimensional rational G-module; Zariski open G-orbit; complex irreducible representation; Fourier transforms; principal series representation; principal minor A. GYOJA , Vector Valued Invariants of Prehomogeneous Vector Spaces , preprint, Osaka University. Linear algebraic groups over finite fields, Representation theory for linear algebraic groups, Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc., Homogeneous spaces and generalizations Vector valued invariants of prehomogeneous vector spaces
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum group; finite group; braided category; flag variety; noncommutative geometry; orbit method Majid, S., Noncommutative differentials and Yang-Mills on permutation groups \(S_N\), Lect. Notes Pure Appl. Math., 239, 189-214, (2004) Geometry of quantum groups, Noncommutative geometry (à la Connes), Classical problems, Schubert calculus Noncommutative differentials and Yang-Mills on permutation groups \(S_n\)
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative quadric surfaces; Sklyanin algebra DOI: 10.4171/JNCG/136 Noncommutative algebraic geometry, Pencils, nets, webs in algebraic geometry, Picard groups Noncommutative quadric surfaces
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces linear algebraic group; Tits algebra; gamma filtration; Grothendieck group; torsion; algebras with orthogonal involution Algebraic cycles, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients), Rings with involution; Lie, Jordan and other nonassociative structures Twisted gamma filtration and algebras with orthogonal involution
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Harnad, J.; Lee, E., Symmetric polynomials, generalized Jacobi-trudi identities and \textit{ {\(\tau\)}}-functions, J. Math. Phys., 59, 091411, (2018) Symmetric functions and generalizations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Polynomials and rational functions of one complex variable, Hardy spaces, Grassmannians, Schubert varieties, flag manifolds, Schur and \(q\)-Schur algebras, KdV equations (Korteweg-de Vries equations) Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimple group; parabolic subgroup; flag variety; commutative unipotent group; nilpotent algebra S. Billy, V. Lakshimibai, \textit{Singular Loci of Schubert Varieties}, Progress in Mathematics, Vol. 182, Birkhäuser, Boston, 2000. Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients) Unipotent commutative group actions on flag varieties and nilpotent multiplications
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Computational aspects in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry The computing of Chern classes of symmetric power of vector lattices of rank 2. An application to enumerative geometry.
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric group; configuration space; hyperplane arrangement Moseley, D.; Proudfoot, N.; Young, B., The Orlik-Terao algebra and the cohomology of configuration space, Exp. Math., 26, 373, (2017) Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Discriminantal varieties and configuration spaces in algebraic topology, Representations of finite symmetric groups, Intersection homology and cohomology in algebraic topology, Configurations and arrangements of linear subspaces The Orlik-Terao algebra and the cohomology of configuration space
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Borisov, L., Chiral rings of vertex algebras of mirror symmetry, Math. Z., 248, 567-591, (2004) Calabi-Yau manifolds (algebro-geometric aspects), Vertex operators; vertex operator algebras and related structures, Toric varieties, Newton polyhedra, Okounkov bodies Chiral rings of vertex algebras of mirror symmetry
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces isotriviality; multiloop algebras Group schemes, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Linear algebraic groups over arbitrary fields Remarks on the isotriviality of multiloop algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces derived Hall algebra; motivic Hall algebra Xiao, J; Xu, F, Remarks on Hall algebras of triangulated categories, Kyoto J Math, 55, 477-499, (2015) Algebraic moduli problems, moduli of vector bundles, Generalizations (algebraic spaces, stacks) Remarks on Hall algebras of triangulated categories
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces determinantal representations; linear matrix inequalities; plane curves; hyperbolic polynomials Software, source code, etc. for problems pertaining to number theory, Software, source code, etc. for problems pertaining to algebraic geometry, Matrices, determinants in number theory, Determinants, permanents, traces, other special matrix functions, Special matrices, Numerical computation of determinants, Numerical algebraic geometry, Geometric aspects of numerical algebraic geometry, Plane and space curves Computing symmetric determinantal representations
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Chow group; vanishing of intersection multiplicity; complete intersection; local Chern characters (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Complete intersections, Multiplicity theory and related topics Intersection multiplicities in commutative algebra
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces M. Marcolli and G. Tabuada, From exceptional collections to motivic decompositions via noncommutative motives, J. Reine Angew. Math. 701 (2015), 153--167. (Equivariant) Chow groups and rings; motives From exceptional collections to motivic decompositions via noncommutative motives
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces pointwise planar normal section; symmetric space; Euler-Poincaré characteristic Global submanifolds, Differential geometry of symmetric spaces, Special varieties Projective subspaces in the variety of normal sections and tangent spaces to a symmetric space
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces intermediate Jacobians; polarizations; noncommutative motives; semi-orthogonal decompositions; Torelli theorem; Fano threefolds; quadric fibrations; blow-ups Noncommutative algebraic geometry, Torelli problem, Rationality questions in algebraic geometry, \(3\)-folds, Fano varieties, Picard schemes, higher Jacobians From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces coinvariant of endomorphism; Jacobian conjecture; polynomial Hopf algebra; endomorphism of polynomial algebra; tame automorphism Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Jacobian problem, Morphisms of commutative rings, Polynomials over commutative rings, Hopf algebras and their applications Endomorphisms of polynomial algebras with small co-invariants
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum \(b\)-functions; regular prehomogeneous vector spaces Prehomogeneous vector spaces, Homogeneous spaces and generalizations Quantum \(b\)-functions of prehomogeneous vector spaces of commutative parabolic type
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Quantum groups and related algebraic methods applied to problems in quantum theory, Quantum groups (quantized enveloping algebras) and related deformations, Lie algebras of linear algebraic groups, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Estimation in multivariate analysis, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) A quantum algebra approach to multivariate Askey-Wilson polynomials
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric pair; flag variety; spherical action Nishiyama, K; Ochiai, H, Double flag varieties for a symmetric pair and finiteness of orbits, J. Lie Theory, 21, 79-99, (2011) Grassmannians, Schubert varieties, flag manifolds, Differential geometry of symmetric spaces, Homogeneous spaces and generalizations Double flag varieties for a symmetric pair and finiteness of orbits
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces supersymmetric algebra; bracket algebra; algebras of invariants; exterior algebra; projective space Huang, R. Q.; Rota, G. -C; Stein, J. A.: Supersymmetric algebra, supersymmetric space, and invariant theory. Annali scuola normale superiore Pisa, 407-432 (1989) Vector and tensor algebra, theory of invariants, Superalgebras, Exterior algebra, Grassmann algebras, Actions of groups on commutative rings; invariant theory, ``Super'' (or ``skew'') structure, Symmetric functions and generalizations, Geometric invariant theory Supersymmetric algebra, supersymmetric space, and invariant theory
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces invariant theory; classical linear groups; homogeneous systems of parameters; polynomial identities; homogeneous generators; minimal generating systems; generic matrices; matrix invariants Lopatin, AA, Orthogonal invariants of skew-symmetric matrices, Linear Multilinear Algebra, 59, 851-862, (2011) Trace rings and invariant theory (associative rings and algebras), Vector and tensor algebra, theory of invariants, Actions of groups on commutative rings; invariant theory, Geometric invariant theory, \(T\)-ideals, identities, varieties of associative rings and algebras, Orthogonal matrices Orthogonal invariants of skew-symmetric matrices.
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; moduli spaces of sheaves; instantons; noncommutative ADHM construction; partition finctions; toric varieties Cirio, L.; Landi, G.; Szabo, R.J., Algebraic deformations of toric varieties II: noncommutative instantons, Adv. Theor. Math. Phys., 15, 1817-1907, (2011) Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Toric varieties, Newton polyhedra, Okounkov bodies, Rings arising from noncommutative algebraic geometry Algebraic deformations of toric varieties. II: Noncommutative instantons
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces commuting isometries; algebraic isopairs; cyclic operators; rational inner functions; distinguished varieties Several-variable operator theory (spectral, Fredholm, etc.), Subnormal operators, hyponormal operators, etc., Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Cyclic vectors, hypercyclic and chaotic operators, Plane and space curves, Special varieties, Inner functions of one complex variable Algebraic pairs of pure commuting isometries with finite multiplicity
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative cross-ratio; noncommutative integrable systems Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.), Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Noncommutative algebraic geometry, Relationships between algebraic curves and integrable systems, Representations of (nonselfadjoint) operator algebras Noncommutative cross-ratio and Schwarz derivative
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces prehomogeneous vector spaces; Galois cohomology T. Kimura, S. Kasai, and H. Hosokawa, Universal transitivity of simple and 2-simple prehomogeneous vector spaces, Ann. Inst. Fourier (Grenoble) 38 (1988), no. 2, 11 -- 41 (English, with French summary). Homogeneous spaces and generalizations, Galois cohomology, Linear algebraic groups over arbitrary fields Universal transitivity of simple and 2-simple prehomogeneous vector spaces
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Nash functions and manifolds On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric matrix; multidegrees; maximum likelihood degree; rational map; Rees algebra; symmetric algebra Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Multiplicity theory and related topics, Algebraic statistics, Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Equations and multidegrees for inverse symmetric matrix 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 non-commutative Chow motive; Grothendieck group; semi-simplicity M. Marcolli and G. Tabuada, Noncommutative motives, numerical equivalence, and semi-simplicity, Amer. J. Math. 136 (2014), no. 1, 59-75. Closed categories (closed monoidal and Cartesian closed categories, etc.), Generalizations (algebraic spaces, stacks) Noncommutative motives, numerical equivalence, and semi-simplicity
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric varieties; spherical modules; Grassmannians; standard monomial theory; wonderful compactification; Schubert variety; Richardson variety Rocco Chirivì, Peter Littelmann, and Andrea Maffei, Equations defining symmetric varieties and affine Grassmannians, Int. Math. Res. Not. IMRN 2 (2009), 291 -- 347. Homogeneous spaces and generalizations, Group varieties, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups Equations defining symmetric varieties and affine Grassmannians
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces isomorphism; automorphism; Lie algebra of global vector fields Hauser, H.; Müller, G., Affine varieties and Lie algebras of vector fields, Manuscripta Math., 80, 309, (1993) Automorphisms of curves, Projective techniques in algebraic geometry, Lie algebras of vector fields and related (super) algebras Affine varieties and Lie algebras of vector fields
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hecke algebra; parabolic character sheaf; canonical basis Hecke algebras and their representations, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups Nonsplit Hecke algebras and perverse sheaves
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tilting bundles; weighted projective lines; canonical algebras; rings of semi-invariants; quivers with relations; algebras of invariants Bobiński, G., Semi-invariants for concealed-canonical algebras, J. pure appl. algebra, 219, 1, 59-76, (2015) Representations of quivers and partially ordered sets, Geometric invariant theory, Actions of groups on commutative rings; invariant theory, Complete intersections, Group actions on varieties or schemes (quotients) Semi-invariants for concealed-canonical algebras.
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 2-simple prehomogeneous vector spaces of type I; simple algebraic groups; rational representation; irreducible representations Tatsuo Kimura, Shin-ichi Kasai, Masaaki Inuzuka, and Osami Yasukura, A classification of 2-simple prehomogeneous vector spaces of type \?, J. Algebra 114 (1988), no. 2, 369 -- 400. Linear algebraic groups over the reals, the complexes, the quaternions, Representation theory for linear algebraic groups, Homogeneous spaces and generalizations A classification of 2-simple prehomogeneous vector spaces of type I
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex flag manifold; minimal orbit of a real form; parabolic CR algebra CR structures, CR operators, and generalizations, Grassmannians, Schubert varieties, flag manifolds, Simple, semisimple, reductive (super)algebras, General properties and structure of real Lie groups, Differential geometry of homogeneous manifolds On homogeneous CR manifolds and their CR 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 equivariant \(\mathcal{D}\)-modules; local cohomology; quiver representations Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local cohomology and commutative rings, Actions of groups on commutative rings; invariant theory, Representations of quivers and partially ordered sets Equivariant \(\mathcal{D}\)-modules on alternating sentry 3-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 Derivation; integrable derivation; Hasse-Schmidt derivation; Differential operator Narváez Macarro, L.: On the modules of m-integrable derivations in non-zero characteristic. Adv. Math. 229(5), 2712-2740 (2012). arXiv:1106.1391 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Derivations and commutative rings, Singularities in algebraic geometry On the modules of \(m\)-integrable derivations in non-zero characteristic
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Koszul Artin-Schelter regular algebras; skew polynomial algebras; Calabi-Yau algebras; superpotentials; PBW-deformations; Yoneda Ext-algebras He, J-W; Oystaeyen, F.; Zhang, Y-H, Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras, J. Algebra, 390, 231-249, (2013) Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings, Quadratic and Koszul algebras, Homological functors on modules (Tor, Ext, etc.) in associative algebras Skew polynomial algebras with coefficients in Koszul Artin-Schelter 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 Danielewski surface; double Danielewski surface; image ideals; locally nilpotent derivation; Makar-Limanov invariant Derivations and commutative rings, Group actions on affine varieties A general class of Danielewski 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 conjugates of equivariant holomorphic maps of symmetric domains; arithmetic varieties; Kuga fiber variety Lee, Pacific J. Math. 149 pp 127-- (1991) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Varieties over global fields, Arithmetic ground fields for abelian varieties Conjugates of equivariant holomorphic maps of symmetric domains
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; noncommutative differential calculus; Poincaré lemma; Toda lattice equation Noncommutative algebraic geometry, Classical or axiomatic geometry and physics, Applications of local differential geometry to the sciences Noncommutative differential calculus and its application on the lattice
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semi-simple Lie groups; linear algebraic groups; geometric group theory; symmetric spaces; buildings; Hecke rings; representation theory M. Kapovich, B. Leeb, and J. J. Millson, ''The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra,'' Mem. Amer. Math. Soc., vol. 192, iss. 896, p. viii, 2008. Semisimple Lie groups and their representations, Linear algebraic groups over arbitrary fields, Geometric invariant theory, Groups with a \(BN\)-pair; buildings, Differential geometry of symmetric spaces The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bott's equality; Capelli identities; deRham cohomology; Hermitian symmetric spaces; Lie algebra cohomology; Young diagram Homology and cohomology of homogeneous spaces of Lie groups, de Rham cohomology and algebraic geometry, Homology and cohomology of Lie groups Decomposition of exterior algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non commutative projective geometry; morphisms to projective bundles; functor of points; symmetric algebras; bimodules Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Morphisms to noncommutative projective lines
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces commutative algebra; algebraic combinatorics; convex polytopes; Cohen- Macaulay rings; algebraic geometry of toric varieties L. J.Billera, Polyhedral theory and commutative algebra. In: Mathematical Programming (A. Bachem, M. Gr?tschel, B. Korte, Ed.), Berlin-Heidelberg, 57-77 (1983). Polytopes and polyhedra, Integer programming, Exact enumeration problems, generating functions, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Graded rings and modules (associative rings and algebras), Special varieties Polyhedral theory and commutative algebra
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rings of differential operators; genus; noncommutative surfaces; birational invariants Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry Embeddings of quotient division algebras of rings of differential operators
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces F.S. Bemfica, H.O. Girotti, The noncommutative degenerate electron gas. J. Phys. A 38, L539--L547 (2005) Noncommutative geometry in quantum theory, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) The noncommutative degenerate electron gas
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Noncommutative algebraic geometry, Derived categories, triangulated categories On the noncommutative Bondal-Orlov conjecture for some 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 local Artinian rings; Wedderburn complements; total rings of fractions; universal enveloping algebras; Heisenberg algebras; coefficient rings; Schur index; Brauer groups; purely inseparable field extensions Noncommutative local and semilocal rings, perfect rings, Brauer groups of schemes, Artinian rings and modules (associative rings and algebras) Heisenberg algebras and coefficient 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 cohomology of \(p\)-adic symmetric spaces; \(p\)-adic cohomology; Steinberg representation; de Rham cohomology; étale cohomology; Bruhat-Tits building; \(p\)-adic Shimura isomorphisms Schneider, P.; Stuhler, U., The cohomology of \(p\)-adic symmetric spaces, Invent. Math., 105, 1, 47-122, (1991) Local ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology, Non-Archimedean analysis The cohomology of \(p\)-adic symmetric spaces
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Rees algebra; aluffi algebra; symmetric algebra; module of derivations; normal module; Cohen-Macaulay; Gorenstein Ramos, Z.; Simis, A.: An analogue of the aluffi algebra for modules. (21 Jan 2016) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Graded rings, Determinantal varieties An analogue of the Aluffi algebra for modules
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces primary variety; reduced variety; monoassociative algebra L. M. Martynov, ''Primary and reduced varieties of monoassociative algebras,'' Sib. Mat. Zh., 42, No. 1, 103--112 (2001). Varieties, Varieties and morphisms, \(T\)-ideals, identities, varieties of associative rings and algebras On primary and reduced varieties of monoassociative algebras
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer group; homogeneous space; weak approximation; Brauer-Manin obstruction Cyril Demarche, Groupe de Brauer non ramifié d'espaces homogènes à stabilisateurs finis, Math. Ann. 346 (2010), no. 4, 949 -- 968 (French, with French summary). Brauer groups of schemes, Varieties over global fields, Global ground fields in algebraic geometry, Galois cohomology Non-ramified Brauer group of homogeneous spaces with finite stabilisers
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ] \bysame, Symmetric powers of Severi-Brauer varieties, to appear in Annales Mathematiques Toulouse. Rationality questions in algebraic geometry, Group actions on varieties or schemes (quotients), Arithmetic problems in algebraic geometry; Diophantine geometry Severi-Brauer varieties and symmetric powers
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces microlocal analysis; Hochschild and cyclic homologies; pseudo- differential operator Jean-Luc Brylinski and Ezra Getzler, The homology of algebras of pseudodifferential symbols and the noncommutative residue, \?-Theory 1 (1987), no. 4, 385 -- 403. Pseudodifferential and Fourier integral operators on manifolds, Applications of methods of algebraic \(K\)-theory in algebraic geometry The homology of algebras of pseudo-differential symbols and the noncommutative residue
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces D. Hobst, Antipodes in the theory of noncommutative torsors, PhD thesis Ludwig-Maximilians Universität München, 2004, Logos Verlag, Berlin, 2004 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Antipodes in the theory of noncommutative torsors
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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces pseudo-Riemannian manifold; pseudo-Riemannian symmetric space; symmetric space; semi-symmetric space; Sekigawa construction; curvature homogeneous Differential geometry of symmetric spaces, Homogeneous spaces and generalizations, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics Pseudo-Riemannian manifolds modelled on 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 infinite-dimensional Lie algebras; current algebras; gauge algebra; conformal algebra; central extensions; integrable systems O. K. Sheinman, ''On Certain Current Algebras Related to Finite-Zone Integration,'' in Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar 2006--2007, Ed. by V. M. Buchstaber and I. M. Krichever (Am. Math. Soc., Providence, RI, 2008), AMS Transl., Ser. 2, 224, pp. 271--284. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Differentials on Riemann surfaces, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Lie algebras of vector fields and related (super) algebras On certain current algebras related to finite-zone integration
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(\mathbb{Z}/2\)-gradings of root systems; local systems; symmetric varieties; \(B\)-orbits; connected reductive linear algebraic groups; Borel subgroups; intersection cohomology complexes; Weyl group actions Springer, T. A.: A description of B-orbits on symmetric varieties. Algebraic groups and Lie groups, 349-373 (1997) Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Classical groups (algebro-geometric aspects) A description of \(B\)-orbits on 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 Lefèvre-Hasegawa, K.: Sur les \(A_\infty \)-catégories, Ph.D. thesis. Université Paris 7--Denis Diderot, (2003) Topological quantum field theories (aspects of differential topology), Topological field theories in quantum mechanics, Noncommutative geometry methods in quantum field theory, Relationships between algebraic curves and physics, Real algebraic sets Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic 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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories, triangulated categories Semiorthogonal decompositions of equivariant derived categories of invariant divisors
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; \(K\)-theory; noncommutative algebraic geometry \(K\)-theory of schemes, Noncommutative algebraic geometry, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Noncommutative rigidity
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Nagao, K., Yamazaki, M.: The Non-commutative Topological Vertex and Wall Crossing Phenomena. http://arxiv.org/abs/0910.5479v1 [hep-th], 2009 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Vertex operators; vertex operator algebras and related structures, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Calabi-Yau manifolds (algebro-geometric aspects) The non-commutative topological vertex and wall-crossing phenomena
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces heat operator; grading; polynomial Lie algebra; differentiation; abelian functions over parameters Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Elliptic curves, Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus, Relationships between algebraic curves and integrable systems Lie algebras of heat operators in a nonholonomic frame
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimple Lie algebra; Cartan subalgebra; root; root system; Borel subalgebra; pair of Lie algebras; Kostant pair; normalizer; self-normalizing subalgebra; nilpotent element; distinguished nilpotent element; nilpotent orbit Simple, semisimple, reductive (super)algebras, Coadjoint orbits; nilpotent varieties, Classical groups (algebro-geometric aspects) Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras
| 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformed Heisenberg algebra; position and momentum operators; deformed oscillator algebra; \(\eta(N)\)-pseudo-Hermitian conjugation; \(\eta(N)\)-pseudo-hermiticity Gavrilik, A. M. and Kachurik, I. I., New version of pseudo-hermiticity in the two-sided deformation of {H}eisenberg algebra, Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 31, 4, 1650024, 15~pages, (2016) Operator algebra methods applied to problems in quantum theory, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, Many-body theory; quantum Hall effect, Formal methods and deformations in algebraic geometry New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra
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