Orthogonal polynomials of compact simple Lie groups: branching rules for polynomials

DOI10.1088/1751-8113/43/49/495207zbMath1225.22013arXiv1007.4431OpenAlexW2098705820MaRDI QIDQ3066042

Agnieszka Tereszkiewicz, Maryna Nesterenko, Marzena Szajewska, Jirí Patera

Publication date: 7 January 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4431

zbMATH Keywords

multivariable orthogonal polynomialscompact simple Lie groupsbranching rules for polynomials

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (5)

On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications ⋮ On immanant functions related to Weyl groups of A n ⋮ Multivariate Chebyshev polynomials in terms of singular elements ⋮ Orthogonal polynomials of compact simple Lie groups ⋮ Special exponential functions on lattices of simple Lie algebras and the allotropic modifications of carbon

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