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Computer physics communications, ISSN 0010-4655, 2015, Volume 192, Issue C, pp. 166 - 195
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 12/2018, Volume 90, Issue 6
Journal Article
Computer physics communications, ISSN 0010-4655, 2012, Volume 183, Issue 11, pp. 2480 - 2493
In this paper we present Affine.m—a program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms... 
Kac–Moody algebra | Weights | Irreducible modules, CFT, integrable systems | Mathematica | Affine Lie algebra | Lie algebra | Root system | Kac-Moody algebra | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | Mathematics | PHYSICS, MATHEMATICAL | Analysis | Algorithms | Algebra | Computation | Mathematical analysis | Lie groups | Summaries | Representations | Symmetry
Journal Article
Journal of algebra, ISSN 0021-8693, 2007, Volume 312, Issue 2, pp. 829 - 848
In this note we present a complete analysis of finite-dimensional representations of the Lie superalgebra sl ( 2 | 1... 
Representation theory | Lie superalgebras | DISORDERED-SYSTEMS | LIE SUPER-ALGEBRAS | SUPERSYMMETRY | SPL(2,1) | CLASSIFICATION | SIGMA-MODEL | IRREDUCIBLE REPRESENTATIONS | CHARACTERS | MATHEMATICS | CONFORMAL FIELD-THEORY | representation theory | SUPERALGEBRAS
Journal Article
Journal of applied crystallography, ISSN 1600-5767, 2017, Volume 50, Issue 5, pp. 1457 - 1477
.... In the symmetry analysis of such systems, instead of the irreducible representations of the space groups, it is necessary to consider the single- and double-valued irreducible representations of the double space groups... 
band representations | double crystallographic groups | computer programs | single‐valued and double‐valued irreducible representations | Bilbao Crystallographic Server | single-valued and double-valued irreducible representations | SPACE-GROUPS | SYMMETRY | ENERGY-BANDS | CRYSTALLOGRAPHY | CHEMISTRY, MULTIDISCIPLINARY | File servers | Analysis | Databases | Diffraction | Brillouin zones | Insulators | Representations | Microstructure | Crystallography | Data bases | Symmetry | Chemistry
Journal Article
Journal of Algebra, ISSN 0021-8693, 2009, Volume 322, Issue 6, pp. 1877 - 1918
Journal Article
Applied Categorical Structures, ISSN 0927-2852, 10/2014, Volume 22, Issue 5, pp. 907 - 929
... Birkhoff in the 1940s to his subdirect representation theorem for general algebras. The Hilbert-Noether-Birkhoff linkage was brought to light in the late 1990s in talks by Bill Lawvere... 
Geometry | Residually small category | Convex and Discrete Geometry | HNB category | Subdirect representation | Mathematics | Theory of Computation | Nullstellensatz | Subdirectly irreducible object | Mathematical Logic and Foundations | MATHEMATICS | CATEGORIES | Analysis | Algebra
Journal Article
Algebras and Representation Theory, ISSN 1386-923X, 4/2015, Volume 18, Issue 2, pp. 477 - 490
In this paper we prove that every irredicuble representation of a Leibniz algebra can be obtained from irreducible representations of the semisimple Lie algebra from the Levi decomposition... 
Primary 17A32 | Associative Rings and Algebras | Irreducible representation | Non-associative Rings and Algebras | Semisimple algebra | Secondary 17B10 | Commutative Rings and Algebras | Leibniz algebra | Mathematics | Representation | MATHEMATICS | Algebra
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 03/2016, Volume 57, Issue 3, p. 31701
We recall the relation between zeta function representation of groups and two-dimensional topological Yang-Mills theory through Mednikh formula... 
PHYSICS, MATHEMATICAL | GAUGE-THEORIES | GROWTH | Yang-Mills theory | Recall | Representations | Mathematics | Mathematical Physics | High Energy Physics - Theory | Representation Theory | Physics | TOPOLOGY | YANG-MILLS THEORY | TWO-DIMENSIONAL CALCULATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | IRREDUCIBLE REPRESENTATIONS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 07/2017, Volume 58, Issue 7, p. 71705
...-invariant systems in terms of strongly continuous irreducible unitary representations (IRS) of B. Here we introduce the analogue B... 
GROUP THEORETICAL APPROACH | UNITARY REPRESENTATIONS | GENERAL-RELATIVITY | ASYMPTOTIC SYMMETRIES | GRAVITATIONAL WAVES | CONSTRUCTION | CANONICAL QUANTIZATION | BMS GROUP | PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS | GRAVITY | Supersymmetry | Topology | Representations | Relativity | Symmetry
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2020, Volume 373, Issue 6, pp. 4223 - 4253
Inspired by the Gan-Gross-Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent representations of unitary groups over finite fields... 
MATHEMATICS | LOCAL ROOT NUMBERS | CRITICAL L-VALUES | RESTRICTION PROBLEMS | WEIL REPRESENTATIONS | ORTHOGONAL GROUPS | GROSS-PRASAD CONJECTURE | REDUCTIVE GROUPS | IRREDUCIBLE REPRESENTATIONS
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 01/2018, Volume 17, Issue 1
Necessary and sufficient conditions for a group to possess a faithful irreducible representation are investigated... 
locally finite group | irreducible representation | Faithful representation | locally cyclic group | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2019, Volume 371, Issue 12, pp. 8699 - 8731
In 2004 the second and third authors introduced a large family of representations of a free group... 
Journal Article
Communications in Algebra, ISSN 0092-7872, 08/2014, Volume 42, Issue 8, pp. 3507 - 3540
... ). A complete description of irreducible components of the representation variety mod(R, n) is obtained for any dimension n, it is shown that the representation variety is equidimensional... 
Irreducible components | (noncommutative complete intersections) NCCI | Primary 16G30, 16G60, 16D25 | Secondary 16A24 | Representation spaces | (representational complete intersections) RCI | Golod-Shafarevich complex | 16G60 | MATHEMATICS | VARIETIES | Primary 16G30 | 16D25 | Algebra | Representations | Planes | Intersections | Modules
Journal Article
Journal of Algebra, ISSN 0021-8693, 11/2017, Volume 489, pp. 179 - 240
Starting with a highest weight representation of a Kac–Moody group over the complex numbers, we construct a monoid whose unit group is the image of the Kac... 
Reductive algebraic monoid | Infinite-dimensional algebraic monoid | Kac–Moody group | Weyl group orbit | [formula omitted]-irreducible | J-irreducible | RENNER MONOIDS | MATHEMATICS | ORTHOGONAL ALGEBRAIC MONOIDS | Kac-Moody group | CROSS-SECTION LATTICES | Information science
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2014, Volume 278, Issue 3, pp. 663 - 703
We study the quantum affine superalgebra $$U_q(\mathcal {L}\mathfrak {sl}(M,N))$$ U q ( L sl ( M , N ) ) and its finite-dimensional representations... 
Mathematics, general | Mathematics | MATHEMATICS | ALGEBRAS | BASES | MODULES | LIE-SUPERALGEBRAS | FINITE-DIMENSIONAL REPRESENTATIONS | UNIVERSAL R-MATRIX | IRREDUCIBLE REPRESENTATIONS | SUPERGROUP UQ(GL(M/N)) | GENERIC-Q
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2015, Volume 367, Issue 7, pp. 5059 - 5079
We give precise conditions under which irreducible representations associated to stability groups induce to irreducible representations for Fell bundle C... 
Fell bundle C-algebra | Irreducible representation | Ideal structure | Fell bundle | MATHEMATICS | ideal structure | EQUIVALENCE THEOREM | irreducible representation | PRIMITIVE-IDEALS | PRODUCTS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2019, Volume 371, Issue 8, pp. 5309 - 5340
...} be the nonlinear double cover of G. We discuss a set of small genuine irreducible representations of \widetilde {G... 
VARIETY | MATHEMATICS | UNITARY REPRESENTATIONS | MINIMAL REPRESENTATIONS | ALGEBRA | O(P | SEMISIMPLE LIE-GROUPS | IRREDUCIBLE CHARACTERS
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 2018, Volume 50, Issue 3, p. 281
That the number of irreducible representations of the special unitary group SU(N) SU ( N ) on V.sup. k V a k (which is also the number of Young tableaux with k boxes... 
Counting irreducible representations | Representation theory | Special unitary group | Tableaux | Group theory | Computer programming | Algebra | Mathematics - Representation Theory
Journal Article
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