Výsledky vyhledávání - "Combinatorial aspects of representation theory"

Invariant theory for the face algebra of the braid arrangement

Autoři: Commins, Patricia

Zdroj: Algebraic Combinatorics. 8:421-468

Témata: Identities, free Lie (super)algebras, poset topology, Actions of groups and semigroups, invariant theory (associative rings and algebras), Tits semigroup, finite dimensional algebras, higher Lie characters, 16. Peace & justice, Solomon's descent algebra, 05E10, 05E18, 16W22, 16GXX, Group actions on combinatorial structures, Reflection and Coxeter groups (group-theoretic aspects), Combinatorial aspects of representation theory, FOS: Mathematics, Representations of quivers and partially ordered sets, Mathematics - Combinatorics, reflection arrangements, left regular band, Combinatorics (math.CO), Representation Theory (math.RT), plethysm, Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2404.00536

Signed combinatorial interpretations in algebraic combinatorics

Autoři: Pak, Igor Robichaux, Colleen

Zdroj: Algebraic Combinatorics. 8:495-519

Témata: FOS: Computer and information sciences, Symmetric functions and generalizations, \(\# \mathsf{P}\), Discrete Mathematics (cs.DM), Classical problems, Schubert calculus, combinatorial interpretation, \(\mathsf{GapP}\), Combinatorial aspects of algebraic geometry, Schubert polynomials, Combinatorial aspects of representation theory, 05E05 (Primary) 05E10, 05E14, 68Q15 (Secondary), FOS: Mathematics, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Complexity classes (hierarchies, relations among complexity classes, etc.), Mathematics - Combinatorics, symmetric functions, Combinatorics (math.CO), quasisymmetric functions, structure constants, Computer Science - Discrete Mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2406.13902

Atoms and charge in type C 2: Atoms and charge in type \(C_2\)

Autoři: Patimo L. Torres J.

Zdroj: Algebraic Combinatorics. 8:521-574

Témata: Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Finite automorphism groups of algebraic, geometric, or combinatorial structures, charge, crystals, 20G05, 05E10, 14L99, Mathematics - Algebraic Geometry, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2303.15560

Two boundary Hecke algebras and combinatorics of type C: Two boundary Hecke algebras and combinatorics of type \(C\)

Autoři: Daugherty, Zajj Ram, Arun

Zdroj: Annals of Representation Theory. 2:355-404

Témata: affine Hecke algebra, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), representation, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, 20C08, 17B10, 17B37, 05E10, Hecke algebras and their representations, Combinatorial aspects of representation theory, Schur-Weyl duality, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1804.10296
https://zbmath.org/8032258
https://doi.org/10.5802/art.27

Calibrated representations of two boundary Temperley–Lieb algebras: Calibrated representations of two boundary Temperley-Lieb algebras

Autoři: Daugherty, Zajj Ram, Arun

Zdroj: Annals of Representation Theory. 2:405-438

Témata: Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), representations, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), 01 natural sciences, Hecke algebras and their representations, Combinatorial aspects of representation theory, Temperley-Lieb algebras, Schur-Weyl duality, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Representation Theory (math.RT), Mathematics - Representation Theory, Mathematical Physics, 16Gxx (20C08, 17B37, 05E10)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2009.02812
https://zbmath.org/8032259
https://doi.org/10.5802/art.26

The geometry of conjugation in affine Coxeter groups

Autoři: Elizabeth Milićević Petra Schwer Anne Thomas

Zdroj: International Journal of Algebra and Computation. 35:403-465

Témata: affine Coxeter group, Other geometric groups, including crystallographic groups, Group Theory (math.GR), centralizer, crystallographic group, Reflection and Coxeter groups (group-theoretic aspects), Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Group Theory, reflection group, Mathematics - Representation Theory, Conjugacy classes for groups, conjugation

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.08080
https://zbmath.org/8037084
https://doi.org/10.1142/s0218196725500109

Partition identities from higher level crystals of 𝐴₁⁽¹⁾: Partition identities from higher level crystals of \(A_1^{(1)}\)

Autoři: Dousse, Jehanne Hardiman, Leonard Konan, Isaac

Zdroj: Proceedings of the American Mathematical Society. 153:1363-1382

Témata: Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Exact enumeration problems, generating functions, Rogers-Ramanujan-type identities, 01 natural sciences, crystal bases, Partition identities, identities of Rogers-Ramanujan type, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Mathematics - Combinatorics, Quantum Algebra (math.QA), Number Theory (math.NT), 0101 mathematics, Representation Theory (math.RT), Combinatorial identities, bijective combinatorics, Combinatorial aspects of partitions of integers, Mathematics - Number Theory, Elementary theory of partitions, character formulas, Kac-Moody (super)algebras, extended affine Lie algebras, toroidal Lie algebras, 05A15, 05A17, 05A30, 05E10, 11P81, 11P84, 17B10, 17B65, 17B67, Kac-Moody Lie algebras, integer partitions, Combinatorial aspects of representation theory, Combinatorics (math.CO), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2111.10279
https://zbmath.org/7991239
https://doi.org/10.1090/proc/16417

Diagram supermodules for 0-Hecke–Clifford algebras: Diagram supermodules for 0-Hecke-Clifford algebras

Autoři: Searles, Dominic

Zdroj: Mathematische Zeitschrift. 310

Témata: Symmetric functions and generalizations, Schur \(Q\)-functions, 01 natural sciences, 0-Hecke algebra, Hecke algebras and their representations, Primary 05E10, 20C08, Secondary 05E05, Combinatorial aspects of representation theory, FOS: Mathematics, quasisymmetric Schur functions, Mathematics - Combinatorics, quasisymmetric Schur \(Q\)-functions, 0-Hecke-Clifford algebra, Combinatorics (math.CO), 0101 mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2202.12022

Reflection Groups and Quiver Mutation: Diagrammatics: Reflection groups and quiver mutation: diagrammatics

Autoři: Wegener, Patrick

Zdroj: The Electronic Journal of Combinatorics. 32

Témata: Group actions on combinatorial structures, Reflection and Coxeter groups (group-theoretic aspects), Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, 0102 computer and information sciences, Combinatorics (math.CO), Group Theory (math.GR), 0101 mathematics, Representation theory of lattices, Mathematics - Group Theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1910.09421
https://zbmath.org/8036389
https://doi.org/10.37236/13369

The Skew Immaculate Hecke Poset and 0-Hecke Modules: The skew immaculate Hecke poset and 0-Hecke modules

Autoři: Lafrenière, Nadia Orellana, Rosa Pun, Anna a další

Zdroj: The Electronic Journal of Combinatorics. 32

Témata: Combinatorics of partially ordered sets, Symmetric functions and generalizations, row-strict dual immaculate functions, Hopf algebras and their applications, Representation Theory, Combinatorics, Combinatorial aspects of representation theory, FOS: Mathematics, Representations of finite symmetric groups, Combinatorics (math.CO), Representation Theory (math.RT), Hecke algebras and their representations

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.00709

Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements: Macdonald identities, Weyl-Kac denominator formulas and affine Grassmannian elements

Autoři: Lecouvey, Cedric Wahiche, David Lecouvey, Cédric

Přispěvatelé: Lecouvey, Cedric Wahiche, David Lecouvey, Cédric

Zdroj: Symmetry, Integrability and Geometry: Methods and Applications.

Témata: Symmetric functions and generalizations, Elementary theory of partitions, hook length formulas, 16. Peace & justice, Affine Grassmannians, affine root systems, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], affine Grassmannians, Nekrasov-Okounkov formulas, Combinatorial aspects of representation theory, Hook lenths formulas, Littlewood decomposition, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Affine root systems, Root systems, Representation Theory (math.RT), Mathematics - Representation Theory

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2404.10532
https://hal.science/hal-04549070v1/document
https://doi.org/10.3842/sigma.2025.023
https://hal.science/hal-04549070v1

Content systems and deformations of cyclotomic KLR algebras of type A and C: Content systems and deformations of cyclotomic KLR algebras of type \(A\) and \(C\)

Autoři: Anton Evseev Andrew Mathas

Zdroj: Annals of Representation Theory. 1:193-297

Témata: quantum groups, cyclotomic KLR algebras, representation theory, Group Theory (math.GR), Specht modules, Hecke algebras and their representations, Categorification, categorification, Combinatorial aspects of representation theory, Mathematics - Quantum Algebra, FOS: Mathematics, cellular algebras, Mathematics - Combinatorics, Quantum Algebra (math.QA), 20C08, 18N25, 20G44, 05E10, Kac-Moody groups, Combinatorics (math.CO), quiver Hecke algebras, Representation Theory (math.RT), seminormal forms, Mathematics - Group Theory, Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2209.00134

A Combinatorial Perspective on the Noncommutative Symmetric Functions: A combinatorial perspective on the noncommutative symmetric functions

Autoři: Hicks, Angela McCloskey, Robert

Zdroj: The Electronic Journal of Combinatorics. 32

Témata: Symmetric functions and generalizations, quasi-determinants, Combinatorial aspects of representation theory, FOS: Mathematics, 05E05, Mathematics - Combinatorics, Combinatorics (math.CO), change-of-basis matrices

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2406.13728

The Construction of a Class of Presentations for Specht Modules: The construction of a class of presentations for Specht modules

Autoři: Friedmann, Tamar

Zdroj: The Electronic Journal of Combinatorics. 32

Témata: Other \(n\)-ary compositions \((n \ge 3)\), Representation Theory, Combinatorics, 05E10, 20C30, Combinatorial aspects of representation theory, FOS: Mathematics, Representations of finite symmetric groups, dual Garnir relations on the space of column tabloids, Combinatorics (math.CO), Representation Theory (math.RT)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2410.07423

The extra basis in noncommuting variables

Autoři: Farid Aliniaeifard Stephanie van Willigenburg

Zdroj: Advances in Applied Mathematics. 168:102887

Témata: coproduct, Species, Hopf monoids, operads in combinatorics, Symmetric functions and generalizations, Combinatorial aspects of representation theory, noncommutative symmetric function, FOS: Mathematics, Hopf monoid, Mathematics - Combinatorics, Representations of finite symmetric groups, Combinatorics (math.CO), symmetric function

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.00177
https://zbmath.org/8037476
https://doi.org/10.1016/j.aam.2025.102887

Weak Bruhat Interval Modules for Genomic Schur Functions: Weak Bruhat interval modules for genomic Schur functions

Autoři: Kim, Young-Hun Yoo, Semin

Zdroj: The Electronic Journal of Combinatorics. 31

Témata: Symmetric functions and generalizations, 0102 computer and information sciences, 20C08, 05E10, 05E05, 14M15, Grassmannians, Schubert varieties, flag manifolds, genomic tableaux, 01 natural sciences, Hecke algebras and their representations, Combinatorial aspects of representation theory, projective cover, FOS: Mathematics, Mathematics - Combinatorics, genomic Schur function, Combinatorics (math.CO), weak Bruhat interval module, Representation Theory (math.RT), Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.06575
https://zbmath.org/7975090
https://doi.org/10.37236/12896

Young walls and graded dimension formulas for finite quiver Hecke algebras of types A2n−1(2), Dn(1) and Bn(1): Young walls and graded dimension formulas for finite quiver Hecke algebras of types \(A_{2n-1}^{(2)}\), \(D_n^{(1)}\) and \(B_n^{(1)}\)

Autoři: Shaolong Han

Zdroj: Communications in Contemporary Mathematics. 27

Témata: Fock space representations, Combinatorial aspects of partitions of integers, graded dimension formulas, quantum affine algebras, Combinatorial aspects of representation theory, Young walls, Quantum groups (quantized enveloping algebras) and related deformations, quiver Hecke algebras

Popis souboru: application/xml

Newton polytopes of dual k-Schur polynomials: Newton polytopes of dual \(k\)-Schur polynomials

Autoři: Bo Wang Candice X.T. Zhang Zhong-Xue Zhang

Zdroj: Advances in Applied Mathematics. 162:102773

Témata: Symmetric functions and generalizations, saturated Newton polytope, Classical problems, Schubert calculus, Combinatorial aspects of representation theory, FOS: Mathematics, dual \(k\)-Schur polynomials, affine Stanley symmetric polynomials, Mathematics - Combinatorics, Combinatorics (math.CO), semistandard \(k\)-tableau, M-convexity, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.14632

Presentations of Schur and Specht modules in characteristic zero

Autoři: Mihalis Maliakas Maria Metzaki Dimitra-Dionysia Stergiopoulou

Zdroj: Journal of Pure and Applied Algebra. 229:107774

Témata: Representation theory for linear algebraic groups, symmetric group, Schur module, Garnir relations, Combinatorial aspects of representation theory, Specht module, FOS: Mathematics, Mathematics - Combinatorics, Representations of finite symmetric groups, Combinatorics (math.CO), Representation Theory (math.RT), 05E10, 20C30, 20G05, Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2312.05478
https://zbmath.org/7975175
https://doi.org/10.1016/j.jpaa.2024.107774
https://pergamos.lib.uoa.gr/uoa/dl/object/3489248

Hydrodynamic limit of the Robinson–Schensted–Knuth algorithm: Hydrodynamic limit of the Robinson-Schensted-Knuth algorithm

Autoři: Mikołaj Marciniak

Zdroj: Random Structures & Algorithms. 60:106-116

Témata: limit shape, random Young tableaux, Combinatorial probability, Combinatorial aspects of representation theory, Exact enumeration problems, generating functions, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, RSK algorithm, bumping route

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/2005.03147
http://arxiv.org/abs/2005.03147
https://onlinelibrary.wiley.com/doi/full/10.1002/rsa.21016