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2017, Contemporary mathematics, ISBN 9781470424602, Volume 683., x, 361 pages
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
2003, Graduate texts in mathematics, ISBN 0387401229, Volume 222, 453
eBook
Book
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
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
Journal Article
2012, Mathematical surveys and monographs, ISBN 9780821875810, Volume 181, xvii, 367
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
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
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
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
Journal Article
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
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
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
Journal Article
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