Zonal Polynomials and Quantum Antisymmetric Matrices

zbMath1296.20045arXiv1109.3567MaRDI QIDQ4914686

Naihuan Jing, Robert Ray

Publication date: 15 April 2013

Full work available at URL: https://arxiv.org/abs/1109.3567

zbMATH Keywords

invariantsquantum groupsPfaffiansMacdonald symmetric functionsquantum enveloping algebraszonal spherical functionsquantum general linear groupsquantum anti-symmetric matricesquantum invariant algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum groups (quantized function algebras) and their representations (20G42) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Harmonic analysis and spherical functions (43A90) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Quantum permanents and Hafnians via Pfaffians ⋮ Quantum hyperdeterminants and hyper-Pfaffians ⋮ Quantum Pfaffians and hyper-Pfaffians ⋮ Minor identities for Sklyanin determinants

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