Journal of Algebra, ISSN 0021-8693, 02/2020, Volume 544, pp. 329 - 390

In this article we begin the study of representations of simple finite-dimensional noncommutative Jordan superalgebras...

Representations of Jordan superalgebras | Representation theory of nonassociative superalgebras | Noncommutative Jordan superalgebra | Kronecker factorization theorem | MATHEMATICS | ALGEBRAS | CLASSIFICATION | FINITE-DIMENSIONAL JORDAN | BIMODULES

Representations of Jordan superalgebras | Representation theory of nonassociative superalgebras | Noncommutative Jordan superalgebra | Kronecker factorization theorem | MATHEMATICS | ALGEBRAS | CLASSIFICATION | FINITE-DIMENSIONAL JORDAN | BIMODULES

Journal Article

Mathematische Zeitschrift, ISSN 1432-1823, 2018, Volume 291, Issue 1-2, pp. 113 - 147

...Math. Z. (2019) 291:113–147 https://doi.org/10.1007/s00209-018-2075-4 Mathematische Zeitschrift Spherical subcategories in representation theory Andreas...

Spherelike poset | Quiver | Mathematics | Cluster-tilting | 16G20 | Finite-dimensional algebra | 16E35 | Spherelike object | 18E30 | Mathematics, general | Derived invariant | Spherical object | Spherical subcategory | MATHEMATICS | ALGEBRAS | CATEGORIES | Algebra

Spherelike poset | Quiver | Mathematics | Cluster-tilting | 16G20 | Finite-dimensional algebra | 16E35 | Spherelike object | 18E30 | Mathematics, general | Derived invariant | Spherical object | Spherical subcategory | MATHEMATICS | ALGEBRAS | CATEGORIES | Algebra

Journal Article

Forum Mathematicum, ISSN 0933-7741, 07/2018, Volume 30, Issue 4, pp. 915 - 928

...) algorithm on the digraph Γ. The category of (unital) -modules is equivalent to a full subcategory of quiver representations of Γ...

16G60 | Morita equivalence | Leavitt path algebra | nonstable K-theory | quiver representations | graph monoid | 16G20 | dimension function | finite-dimensional modules | GRAPH | MATHEMATICS | MATHEMATICS, APPLIED | K-THEORY

16G60 | Morita equivalence | Leavitt path algebra | nonstable K-theory | quiver representations | graph monoid | 16G20 | dimension function | finite-dimensional modules | GRAPH | MATHEMATICS | MATHEMATICS, APPLIED | K-THEORY

Journal Article

Journal of Topology and Analysis, ISSN 1793-5253, 12/2018, Volume 10, Issue 4, pp. 723 - 816

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2013, Volume 408, Issue 2, pp. 789 - 794

We describe, up to isomorphism, the local multiplier algebra Mloc(A) of a C∗-algebra A which admits only finite dimensional irreducible representations: Mloc...

[formula omitted]-algebra | Derivation | Finite dimensional irreducible representation | Local multiplier algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | STAR-ALGEBRAS | DERIVATIONS | C-algebra | Algebra

[formula omitted]-algebra | Derivation | Finite dimensional irreducible representation | Local multiplier algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | STAR-ALGEBRAS | DERIVATIONS | C-algebra | Algebra

Journal Article

Journal of mathematical physics, ISSN 1089-7658, 2014, Volume 55, Issue 9, p. 091704

The symmetries provided by representations of the centrally extended Lie superalgebra psl(2 vertical bar 2...

PHYSICS, MATHEMATICAL | GL(2/2) | FINITE-DIMENSIONAL REPRESENTATIONS | ANTI DE SITTER GROUP | ANTI DE SITTER SPACE | CONFORMAL INVARIANCE | EIGENVALUES | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | GRADED LIE GROUPS | IRREDUCIBLE REPRESENTATIONS | QUANTUM FIELD THEORY | HUBBARD MODEL

PHYSICS, MATHEMATICAL | GL(2/2) | FINITE-DIMENSIONAL REPRESENTATIONS | ANTI DE SITTER GROUP | ANTI DE SITTER SPACE | CONFORMAL INVARIANCE | EIGENVALUES | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | GRADED LIE GROUPS | IRREDUCIBLE REPRESENTATIONS | QUANTUM FIELD THEORY | HUBBARD MODEL

Journal Article

Selecta Mathematica, ISSN 1022-1824, 3/2013, Volume 19, Issue 1, pp. 125 - 140

A theorem of Y. Berest, P. Etingof and V. Ginzburg states that finite-dimensional irreducible representations of a type A rational Cherednik algebra are classified by one rational number m/n...

Rational Cherednik algebra | Symmetric group | 14H20 | 70H06 | Mathematics, general | Mathematics | Arc space | 16G99 | MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | FINITE-DIMENSIONAL REPRESENTATIONS | OPERATORS | RATIONAL CHEREDNIK ALGEBRAS | Algebra

Rational Cherednik algebra | Symmetric group | 14H20 | 70H06 | Mathematics, general | Mathematics | Arc space | 16G99 | MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | FINITE-DIMENSIONAL REPRESENTATIONS | OPERATORS | RATIONAL CHEREDNIK ALGEBRAS | Algebra

Journal Article

Advances in Mathematics, ISSN 0001-8708, 04/2016, Volume 292, pp. 601 - 706

We provide geometric constructions of modules over the graded Cherednik algebra Hνgr and the rational Cherednik algebra Hνrat attached to a simple algebraic...

Hitchin fibration | Cherednik algebras | Affine Springer fibers | Affine springer fibers | LIE-ALGEBRAS | MATHEMATICS | AFFINE FLAG MANIFOLDS | REFLECTION GROUPS | GLOBAL SPRINGER THEORY | FINITE-DIMENSIONAL REPRESENTATIONS | INVARIANT-THEORY | Algebra

Hitchin fibration | Cherednik algebras | Affine Springer fibers | Affine springer fibers | LIE-ALGEBRAS | MATHEMATICS | AFFINE FLAG MANIFOLDS | REFLECTION GROUPS | GLOBAL SPRINGER THEORY | FINITE-DIMENSIONAL REPRESENTATIONS | INVARIANT-THEORY | Algebra

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2011, Volume 52, Issue 12, pp. 123512 - 123512-12

.... This method, more precisely, the vector coherent state method, has been used by some authors to construct representations of superalgebras but almost, to our knowledge, it has not yet been extended...

EXACTNESS | HARMONIC-OSCILLATOR | HOLSTEIN-PRIMAKOFF | FINITE-DIMENSIONAL REPRESENTATIONS | MODEL | HIGHEST WEIGHT REPRESENTATIONS | PHYSICS, MATHEMATICAL | Q-BOSON REALIZATIONS

EXACTNESS | HARMONIC-OSCILLATOR | HOLSTEIN-PRIMAKOFF | FINITE-DIMENSIONAL REPRESENTATIONS | MODEL | HIGHEST WEIGHT REPRESENTATIONS | PHYSICS, MATHEMATICAL | Q-BOSON REALIZATIONS

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 6/2013, Volume 274, Issue 1, pp. 613 - 645

We explore the relation between self extensions of simple representations of quantum affine algebras and the property of a simple representation being prime...

17B67 | Extentions | Prime | Quantum affine algebras | 81R50 | Mathematics, general | Mathematics | CRYSTAL BASES | DEMAZURE | QUIVER VARIETIES | FINITE-DIMENSIONAL REPRESENTATIONS | MATHEMATICS | PRODUCTS | CLUSTER ALGEBRAS | SIMPLE MODULES | MINIMAL AFFINIZATIONS | WEYL MODULES | Algebra

17B67 | Extentions | Prime | Quantum affine algebras | 81R50 | Mathematics, general | Mathematics | CRYSTAL BASES | DEMAZURE | QUIVER VARIETIES | FINITE-DIMENSIONAL REPRESENTATIONS | MATHEMATICS | PRODUCTS | CLUSTER ALGEBRAS | SIMPLE MODULES | MINIMAL AFFINIZATIONS | WEYL MODULES | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 2009, Volume 322, Issue 6, pp. 1877 - 1918

The irreducible components of varieties parametrizing the finite dimensional representations of a finite dimensional algebra Λ...

Representations of finite dimensional algebras | Generic properties of representations | Irreducible components of parameterizing varieties | Path algebras modulo relations | MATHEMATICS | MODULES | SUBREPRESENTATIONS | VARIETIES | UNISERIAL REPRESENTATIONS | FINITE-DIMENSIONAL ALGEBRAS | GEOMETRY

Representations of finite dimensional algebras | Generic properties of representations | Irreducible components of parameterizing varieties | Path algebras modulo relations | MATHEMATICS | MODULES | SUBREPRESENTATIONS | VARIETIES | UNISERIAL REPRESENTATIONS | FINITE-DIMENSIONAL ALGEBRAS | GEOMETRY

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 2/2019, Volume 22, Issue 1, pp. 141 - 176

.... Namely, they are endomorphism rings of generators over a symmetric algebra. This article studies various algebraic and homological properties of representation-finite gendo-symmetric biserial algebras...

Gorenstein dimension | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Representation theory of finite dimensional algebras | Almost ν -stable derived equivalence | Primary 16G10 | Gendo-symmetric algebra | Associative Rings and Algebras | Brauer tree algebras | 16E10 | Dominant dimension | Nakayama algebras | Almost ν-stable derived equivalence | Almost -stable derived equivalence | CATEGORIES | MATHEMATICS | MUTATION | EQUIVALENCES | Algebra

Gorenstein dimension | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Representation theory of finite dimensional algebras | Almost ν -stable derived equivalence | Primary 16G10 | Gendo-symmetric algebra | Associative Rings and Algebras | Brauer tree algebras | 16E10 | Dominant dimension | Nakayama algebras | Almost ν-stable derived equivalence | Almost -stable derived equivalence | CATEGORIES | MATHEMATICS | MUTATION | EQUIVALENCES | Algebra

Journal Article

Algebra and Number Theory, ISSN 1937-0652, 2018, Volume 12, Issue 2, pp. 379 - 410

For any truncated path algebra 3 of a quiver, we classify, by way of representation-theoretic invariants, the irreducible components of the parametrizing varieties Rep(d) (Lambda...

Irreducible components | Generic properties of representations | Varieties of representations | MATHEMATICS | varieties of representations | irreducible components | FINITE-DIMENSIONAL REPRESENTATIONS | INFINITE ROOT SYSTEMS | generic properties of representations | GRAPHS

Irreducible components | Generic properties of representations | Varieties of representations | MATHEMATICS | varieties of representations | irreducible components | FINITE-DIMENSIONAL REPRESENTATIONS | INFINITE ROOT SYSTEMS | generic properties of representations | GRAPHS

Journal Article

Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2016, Volume 20, Issue 3, pp. 553 - 593

The simple integrable modules with finite dimensional weight spaces are classified for the quantum affine special linear superalgebra U-q((sl) over cap (M...

Quantum affine superalgebras | Highest weight modules | Integrable modules | Quantum supergroups | YANG-BAXTER EQUATION | CRYSTAL BASES | UNITARY REPRESENTATIONS | DEFINING RELATIONS | LIE-SUPERALGEBRAS | FINITE-DIMENSIONAL REPRESENTATIONS | HIGHEST WEIGHT REPRESENTATIONS | PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS | SUPERGROUP UQ(GL(M/N)) | T-J-MODEL | PHYSICS, PARTICLES & FIELDS

Quantum affine superalgebras | Highest weight modules | Integrable modules | Quantum supergroups | YANG-BAXTER EQUATION | CRYSTAL BASES | UNITARY REPRESENTATIONS | DEFINING RELATIONS | LIE-SUPERALGEBRAS | FINITE-DIMENSIONAL REPRESENTATIONS | HIGHEST WEIGHT REPRESENTATIONS | PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS | SUPERGROUP UQ(GL(M/N)) | T-J-MODEL | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 12/2018, Volume 17, Issue 12

Using a combinatorial description due to Jacon and Lecouvey of the wall crossing bijections for cyclotomic rational Cherednik algebras, we show that the irreducible representations L-c(lambda...

wall crossing bijections | Rational Cherednik algebras | finite dimensional representations | MATHEMATICS | MATHEMATICS, APPLIED

wall crossing bijections | Rational Cherednik algebras | finite dimensional representations | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 11/2007, Volume 276, Issue 1, pp. 221 - 259

In this paper we study minimal affinizations of representations of quantum groups...

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | AFFINE ALGEBRAS | PRODUCTS | FUNDAMENTAL REPRESENTATIONS | QUIVER VARIETIES | Q-CHARACTERS | CRYSTALS | PATHS | FINITE-DIMENSIONAL REPRESENTATIONS | PHYSICS, MATHEMATICAL | EQUATION | Algorithms

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | AFFINE ALGEBRAS | PRODUCTS | FUNDAMENTAL REPRESENTATIONS | QUIVER VARIETIES | Q-CHARACTERS | CRYSTALS | PATHS | FINITE-DIMENSIONAL REPRESENTATIONS | PHYSICS, MATHEMATICAL | EQUATION | Algorithms

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 04/2016, Volume 15, Issue 3

We introduce the notion of Drinfeld polynomials of two-parameter quantum affine algebras and establish a one-to-one correspondence between finite-dimensional irreducible representations and sets of l...

finite-dimensional representation | evaluation representation | Drinfeld realization | Two-parameter quantum affine algebra | MATHEMATICS | DRINFELD DOUBLES | MATHEMATICS, APPLIED | LUSZTIGS SYMMETRIES

finite-dimensional representation | evaluation representation | Drinfeld realization | Two-parameter quantum affine algebra | MATHEMATICS | DRINFELD DOUBLES | MATHEMATICS, APPLIED | LUSZTIGS SYMMETRIES

Journal Article

Journal of Algebra, ISSN 0021-8693, 01/2016, Volume 446, pp. 426 - 449

We give a complete classification of all algebras appearing as endomorphism algebras of maximal rigid objects in standard 2-Calabi–Yau categories of finite...

Finite representation type | 2-CY categories | Tilting objects | Rigid objects | Finite dimensional algebras | MATHEMATICS | CLUSTER CATEGORIES | QUIVERS | TRIANGULATED CATEGORIES | 2-CALABI-YAU CATEGORIES | Algebra | Mathematics | Representation Theory

Finite representation type | 2-CY categories | Tilting objects | Rigid objects | Finite dimensional algebras | MATHEMATICS | CLUSTER CATEGORIES | QUIVERS | TRIANGULATED CATEGORIES | 2-CALABI-YAU CATEGORIES | Algebra | Mathematics | Representation Theory

Journal Article

Canadian journal of statistics, ISSN 0319-5724, 6/2002, Volume 30, Issue 2, pp. 269 - 283

The Dirichlet process can be regarded as a random probability measure for which the authors examine various sum representations...

Approximation | Stochastic processes | Eigenfunctions | Random variables | Nonparametric models | Poisson process | Probabilities | Property partitioning | Truncation | Perceptron convergence procedure | finite dimensional Dirichlet prior | random probability measure | Lévy measure | stick‐breaking prior | Almost sure truncation | weak convergence | Random probability measure | Weak convergence | Stick-breaking prior | Finite dimensional Dirichlet prior

Approximation | Stochastic processes | Eigenfunctions | Random variables | Nonparametric models | Poisson process | Probabilities | Property partitioning | Truncation | Perceptron convergence procedure | finite dimensional Dirichlet prior | random probability measure | Lévy measure | stick‐breaking prior | Almost sure truncation | weak convergence | Random probability measure | Weak convergence | Stick-breaking prior | Finite dimensional Dirichlet prior

Journal Article

Duke mathematical journal, ISSN 0012-7094, 2010, Volume 154, Issue 2, pp. 265 - 341

Let C be the category of finite-dimensional representations of a quantum affine algebra U-q((g) over cap...

MATHEMATICS | TENSOR-PRODUCTS | QUIVER VARIETIES | Q-CHARACTERS | FINITE-DIMENSIONAL REPRESENTATIONS | PREPROJECTIVE ALGEBRAS | GENERALIZED ASSOCIAHEDRA | Y-SYSTEMS | SEMICANONICAL BASES | MINIMAL AFFINIZATIONS | 2-CALABI-YAU CATEGORIES | 17B37 | 16D90

MATHEMATICS | TENSOR-PRODUCTS | QUIVER VARIETIES | Q-CHARACTERS | FINITE-DIMENSIONAL REPRESENTATIONS | PREPROJECTIVE ALGEBRAS | GENERALIZED ASSOCIAHEDRA | Y-SYSTEMS | SEMICANONICAL BASES | MINIMAL AFFINIZATIONS | 2-CALABI-YAU CATEGORIES | 17B37 | 16D90

Journal Article

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