2017, Contemporary mathematics, ISBN 9781470424602, Volume 683., x, 361 pages

Book

2011, Fields Institute communications, ISBN 9780821852378, Volume 59, 213

Book

2016, Graduate studies in mathematics, ISBN 9781470423070, Volume 174, xii, 295 pages

Book

Algebras and representation theory, ISSN 1572-9079, 1998

Journal

2014, CRM monograph series, ISBN 0821843559, Volume 33, xi, 306 pages

Book

2011, Contemporary mathematics, ISBN 9780821852392, Volume 537, viii, 324

Book

2003, Graduate texts in mathematics, ISBN 0387401229, Volume 222, 453

eBook

2015, Mathematical surveys and monographs, ISBN 1470420244, Volume no. 205., xvi, 343

Book

2015, Volume 652.

Conference Proceeding

Communications in Mathematical Physics, ISSN 0010-3616, 6/2018, Volume 360, Issue 3, pp. 851 - 918

We prove that any classical affine W-algebra $${\mathcal{W}}$$ W ($${\mathfrak{g}, f)}$$ g,f) , where $${\mathfrak{g}}$$ g is a classical Lie algebra and f is...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Algebra

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Algebra

Journal Article

Journal of the Australian Mathematical Society, ISSN 1446-7887, 06/2018, Volume 104, Issue 3, pp. 403 - 411

The author has previously associated to each commutative ring with unit R and etale groupoid G with locally compact, Hausdorff and totally disconnected unit...

inverse semigroup algebras | chain conditions | groupoid algebras | Leavitt path algebras | étale groupoids | GRAPH | MATHEMATICS | REPRESENTATION-THEORY | etale groupoids | STEINBERG ALGEBRAS | SIMPLICITY | RINGS

inverse semigroup algebras | chain conditions | groupoid algebras | Leavitt path algebras | étale groupoids | GRAPH | MATHEMATICS | REPRESENTATION-THEORY | etale groupoids | STEINBERG ALGEBRAS | SIMPLICITY | RINGS

Journal Article

2012, Mathematical surveys and monographs, ISBN 9780821875810, Volume 181, xvii, 367

Book

1975, Lecture notes in mathematics, ISBN 0387074031, Volume 486., vii, 169

Book

Duke Mathematical Journal, ISSN 0012-7094, 2015, Volume 164, Issue 8, pp. 1549 - 1602

Let g be an untwisted affine Kac-Moody algebra of type A(n)((1)) (n >= 0 or D-n((1)) (n >= 4), and let g(0) be the underlying finite-dimensional simple Lie...

MATHEMATICS | BASES | DUAL CANONICAL BASIS | Q-CHARACTERS | VARIETIES | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | LAUDA-ROUQUIER ALGEBRAS | EXCITATION-SPECTRA | Mathematics - Representation Theory | quiver Hecke algebra | quantum group | 16G | 81R50 | quantum affine algebra | 17B37 | 16T25

MATHEMATICS | BASES | DUAL CANONICAL BASIS | Q-CHARACTERS | VARIETIES | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | LAUDA-ROUQUIER ALGEBRAS | EXCITATION-SPECTRA | Mathematics - Representation Theory | quiver Hecke algebra | quantum group | 16G | 81R50 | quantum affine algebra | 17B37 | 16T25

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2019, Volume 520, pp. 276 - 308

Let k be an arbitrary field and let q∈k∖{0}. In this paper we use the known tilting theory for the quantum group Uq(sl2) to obtain the dimensions of simple...

Representation theory | Temperley–Lieb algebras | Quantum groups | MATHEMATICS | REPRESENTATIONS | TENSOR-PRODUCTS | TILTING MODULES | QUANTUM | Temperley-Lieb algebras | ROOTS | CATEGORIES | Algebra | Algorithms

Representation theory | Temperley–Lieb algebras | Quantum groups | MATHEMATICS | REPRESENTATIONS | TENSOR-PRODUCTS | TILTING MODULES | QUANTUM | Temperley-Lieb algebras | ROOTS | CATEGORIES | Algebra | Algorithms

Journal Article

Computer Physics Communications, ISSN 0010-4655, 07/2015, Volume 192, Issue C, pp. 166 - 195

We present the Mathematica application “LieART” (LieAlgebras and Representation Theory) for computations frequently encountered in Lie algebras and...

Irreducible representation | Model building | Tensor product | GUT | Representation theory | Lie group | Lie algebra | Branching rule | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODEL | PHYSICS, MATHEMATICAL | Algebra | Tensors | Computation | Mathematical analysis | Lie groups | Mathematical models | Labels | Decomposition | Representations

Irreducible representation | Model building | Tensor product | GUT | Representation theory | Lie group | Lie algebra | Branching rule | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODEL | PHYSICS, MATHEMATICAL | Algebra | Tensors | Computation | Mathematical analysis | Lie groups | Mathematical models | Labels | Decomposition | Representations

Journal Article

Advances in Mathematics, ISSN 0001-8708, 04/2017, Volume 311, pp. 662 - 729

We prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a...

Yokonuma–Hecke algebra | Representation theory | Quiver Hecke algebra | MATHEMATICS | Yokonuma-Hecke algebra | DECOMPOSITION NUMBERS | Algebra | Mathematics - Representation Theory | Mathematics | Representation Theory

Yokonuma–Hecke algebra | Representation theory | Quiver Hecke algebra | MATHEMATICS | Yokonuma-Hecke algebra | DECOMPOSITION NUMBERS | Algebra | Mathematics - Representation Theory | Mathematics | Representation Theory

Journal Article

18.
Full Text
Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results

Journal of Algebra, ISSN 0021-8693, 04/2018, Volume 500, pp. 117 - 152

We find all values of k∈C, for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra Wk(g,θ) is conformal, where g is a basic...

Vertex algebra | Conformal level | Virasoro (=conformal) vector | Conformal embedding | Collapsing level | MATHEMATICS | DECOMPOSITIONS | REPRESENTATION-THEORY | SPACES | SUPERCONFORMAL ALGEBRAS | SUPERALGEBRAS | Virasoro (= conformal) vector | SUBALGEBRAS | QUANTUM REDUCTION | Mathematics - Representation Theory

Vertex algebra | Conformal level | Virasoro (=conformal) vector | Conformal embedding | Collapsing level | MATHEMATICS | DECOMPOSITIONS | REPRESENTATION-THEORY | SPACES | SUPERCONFORMAL ALGEBRAS | SUPERALGEBRAS | Virasoro (= conformal) vector | SUBALGEBRAS | QUANTUM REDUCTION | Mathematics - Representation Theory

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 10/2019, Volume 52, Issue 42, p. 424001

We provide an explicit isomorphism between a quotient of the Bannai-Ito algebra and the Brauer algebra. We clarify also the connection with the action of the...

POLYNOMIALS | Bannai-Ito algebra | PHYSICS, MULTIDISCIPLINARY | centralizer | superalgebra osp(1 vertical bar 2) | PHYSICS, MATHEMATICAL | Brauer algebra | Quantum Algebra | Mathematics | Representation Theory

POLYNOMIALS | Bannai-Ito algebra | PHYSICS, MULTIDISCIPLINARY | centralizer | superalgebra osp(1 vertical bar 2) | PHYSICS, MATHEMATICAL | Brauer algebra | Quantum Algebra | Mathematics | Representation Theory

Journal Article

Inventiones Mathematicae, ISSN 0020-9910, 10/2009, Volume 178, Issue 3, pp. 451 - 484

We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) cyclotomic Khovanov-Lauda algebras in type A. These...

MATHEMATICS | SYMMETRIC-GROUPS | SPLITTABLE REPRESENTATIONS

MATHEMATICS | SYMMETRIC-GROUPS | SPLITTABLE REPRESENTATIONS

Journal Article

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