Computer physics communications, ISSN 0010-4655, 2015, Volume 192, Issue C, pp. 166 - 195

We present the Mathematica application “LieART” (LieAlgebras and Representation Theory...

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

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

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

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

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

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

MATHEMATICS | LOCAL ROOT NUMBERS | CRITICAL L-VALUES | RESTRICTION PROBLEMS | WEIL REPRESENTATIONS | ORTHOGONAL GROUPS | GROSS-PRASAD CONJECTURE | REDUCTIVE GROUPS | IRREDUCIBLE REPRESENTATIONS

Journal Article

5.
Full Text
Unitary irreducible representations of SL (2,C) in discrete and continuous SU (1,1) bases

Journal of mathematical physics, ISSN 1089-7658, 2011, Volume 52, Issue 1, p. 012501

We derive the matrix elements of generators of unitary irreducible representations of SL(2, C...

COMPLEX ANGULAR MOMENTA | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | HOMOGENEOUS LORENTZ GROUP | Physics - General Relativity and Quantum Cosmology | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | LIE GROUPS | SYMMETRY GROUPS | MATRIX ELEMENTS | SL GROUPS | FUNCTIONS | IRREDUCIBLE REPRESENTATIONS | MATHEMATICAL METHODS AND COMPUTING | SU-2 GROUPS | SU GROUPS | UNITARY SYMMETRY

COMPLEX ANGULAR MOMENTA | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | HOMOGENEOUS LORENTZ GROUP | Physics - General Relativity and Quantum Cosmology | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | LIE GROUPS | SYMMETRY GROUPS | MATRIX ELEMENTS | SL GROUPS | FUNCTIONS | IRREDUCIBLE REPRESENTATIONS | MATHEMATICAL METHODS AND COMPUTING | SU-2 GROUPS | SU GROUPS | UNITARY SYMMETRY

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

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

Selecta Mathematica, ISSN 1022-1824, 3/2013, Volume 19, Issue 1, pp. 141 - 172

In this paper, we study irreducible unitary representations of $${GL_{n}(\mathbb{R})}$$ and prove a number of results...

BZ derivative | 22E47 | Associated variety | General linear group | 22E50 | Mathematics, general | Mathematics | Annihilator | Whittaker functional | Howe rank | Unitary dual | 22E46 | MATHEMATICS, APPLIED | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS | CONJECTURE | CHARACTERS | P-ADIC GROUPS | MATHEMATICS | MODULES | MODELS | VECTORS | OPERATORS

BZ derivative | 22E47 | Associated variety | General linear group | 22E50 | Mathematics, general | Mathematics | Annihilator | Whittaker functional | Howe rank | Unitary dual | 22E46 | MATHEMATICS, APPLIED | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS | CONJECTURE | CHARACTERS | P-ADIC GROUPS | MATHEMATICS | MODULES | MODELS | VECTORS | OPERATORS

Journal Article

Journal of Algebra, ISSN 0021-8693, 11/2016, Volume 466, pp. 1 - 33

All irreducible representations of the Chinese monoid Cn, of any rank n, over a nondenumerable algebraically closed field K, are constructed...

Simple module | Irreducible representation | Chinese monoid | Chinese algebra | MATHEMATICS | ALGEBRAS | Algebra

Simple module | Irreducible representation | Chinese monoid | Chinese algebra | MATHEMATICS | ALGEBRAS | Algebra

Journal Article

Forum Mathematicum, ISSN 0933-7741, 01/2015, Volume 27, Issue 1, pp. 549 - 574

We construct some irreducible representations of the Leavitt path algebra of an arbitrary quiver...

Quiver | irreducible representation | left-infinite path | Leavitt path algebra | 16E50 | 16D90 | algebraic branching system | 16G20 | Left-infinite path | Irreducible representation | Algebraic branching system | ARBITRARY GRAPHS | MATHEMATICS | MATHEMATICS, APPLIED | MODULES | SOCLE | CATEGORY | K-THEORY

Quiver | irreducible representation | left-infinite path | Leavitt path algebra | 16E50 | 16D90 | algebraic branching system | 16G20 | Left-infinite path | Irreducible representation | Algebraic branching system | ARBITRARY GRAPHS | MATHEMATICS | MATHEMATICS, APPLIED | MODULES | SOCLE | CATEGORY | K-THEORY

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

Forum Mathematicum, ISSN 0933-7741, 03/2020, Volume 32, Issue 2, pp. 417 - 431

We completely characterize perfect, permutative, irreducible representations of an ultragraph Leavitt path algebra...

16S10 | 16W50 | Ultragraph Leavitt path algebras | irreducible representations | permutative representations | branching systems | 16G99 | GRAPH ALGEBRAS | MATHEMATICS | MATHEMATICS, APPLIED | SOCLE | EXEL-LACA ALGEBRAS | SIMPLE MODULES

16S10 | 16W50 | Ultragraph Leavitt path algebras | irreducible representations | permutative representations | branching systems | 16G99 | GRAPH ALGEBRAS | MATHEMATICS | MATHEMATICS, APPLIED | SOCLE | EXEL-LACA ALGEBRAS | SIMPLE MODULES

Journal Article

Pattern Recognition, ISSN 0031-3203, 07/2017, Volume 67, pp. 1 - 15

Features of G-lets Edge Operator:•Geometry of objects in the image are preserved.•Edges are continuous.•Tracking outlines of small objects in cluttered images...

Irreducible representations | Group representations | G-lets filter | Matrix representations | Boundary detection | Feature extraction | G-lets | Pattern recognition | Edge detection | irreducible representations | PERFORMANCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC

Irreducible representations | Group representations | G-lets filter | Matrix representations | Boundary detection | Feature extraction | G-lets | Pattern recognition | Edge detection | irreducible representations | PERFORMANCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2014, Volume 334, Issue 3, pp. 1219 - 1244

Journal Article

Journal of Algebra, ISSN 0021-8693, 03/2016, Volume 450, pp. 458 - 486

Using the E-algebraic branching systems, various graded irreducible representations of a Leavitt path K-algebra L of a directed graph E are constructed...

Graded modules | Graded irreducible representations | Leavitt path algebras | Graded self-injective modules | Arbitrary graphs | Primitive ideals | Finitely presented graded simple modules | MATHEMATICS | SOCLE | SIMPLE MODULES | Algebra

Graded modules | Graded irreducible representations | Leavitt path algebras | Graded self-injective modules | Arbitrary graphs | Primitive ideals | Finitely presented graded simple modules | MATHEMATICS | SOCLE | SIMPLE MODULES | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 02/2018, Volume 46, Issue 2, pp. 708 - 726

...( ). We also study representation theory of ω-Lie algebras. We show that all three-dimensional nontrivial ω...

derivations | irreducible representations | ω-Lie algebras | automorphisms

derivations | irreducible representations | ω-Lie algebras | automorphisms

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 2015, Volume 56, Issue 8, p. 81702

We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras...

PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS | Algebra | Lie groups | Decomposition | Representations | Closures | Oscillators | Quantum theory | TENSORS | MULTIPLICITY | QUANTUM SYSTEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | LIE GROUPS

PHYSICS, MATHEMATICAL | IRREDUCIBLE REPRESENTATIONS | Algebra | Lie groups | Decomposition | Representations | Closures | Oscillators | Quantum theory | TENSORS | MULTIPLICITY | QUANTUM SYSTEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | LIE GROUPS

Journal Article

18.
Full Text
p-Saturations of Welter’s game and the irreducible representations of symmetric groups

Journal of Algebraic Combinatorics, ISSN 0925-9899, 9/2018, Volume 48, Issue 2, pp. 247 - 287

We establish a relation between the Sprague–Grundy function of p-saturations of Welter’s game and the degrees of the ordinary irreducible representations of symmetric groups...

Sprague–Grundy function | Mathematics | 91A46 | Irreducible representation | p -Core | 20C30 | Convex and Discrete Geometry | Combinatorial game | Symmetric group | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | p-Core | D-COMPLETE POSETS | MATHEMATICS | NUMBERS | Sprague-Grundy function

Sprague–Grundy function | Mathematics | 91A46 | Irreducible representation | p -Core | 20C30 | Convex and Discrete Geometry | Combinatorial game | Symmetric group | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | p-Core | D-COMPLETE POSETS | MATHEMATICS | NUMBERS | Sprague-Grundy function

Journal Article

Journal of Algebra, ISSN 0021-8693, 11/2014, Volume 418, pp. 265 - 291

We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra...

Yangians | Zhelobenko operators | MATHEMATICS | MODULES | MICKELSSON ALGEBRAS | R-MATRIX | HECKE ALGEBRA | XXZ MODEL | IRREDUCIBLE REPRESENTATIONS | OPERATORS | Algebra

Yangians | Zhelobenko operators | MATHEMATICS | MODULES | MICKELSSON ALGEBRAS | R-MATRIX | HECKE ALGEBRA | XXZ MODEL | IRREDUCIBLE REPRESENTATIONS | OPERATORS | Algebra

Journal Article

Bulletin de la Societe Mathematique de France, ISSN 0037-9484, 2014, Volume 142, Issue 2, pp. 255 - 267

...) on Speh representations of a group GL(n)(D) where D is a local non Archimedean division algebra of any characteristic.

Representations of p-adic groups | Unitary representations | Langlands program | MATHEMATICS | unitary representations | GL(N) | JACQUET-LANGLANDS CORRESPONDENCE | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS

Representations of p-adic groups | Unitary representations | Langlands program | MATHEMATICS | unitary representations | GL(N) | JACQUET-LANGLANDS CORRESPONDENCE | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS

Journal Article

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