Orthogonal polynomials of compact simple Lie groups

DOI10.1155/2011/969424zbMath1250.33016arXiv1001.3683OpenAlexW3099298598WikidataQ58688002 ScholiaQ58688002MaRDI QIDQ763034

Maryna Nesterenko, Agnieszka Tereszkiewicz, Jirí Patera

Publication date: 8 March 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3683

zbMATH Keywords

Weyl groupChebyshev polynomialsorthogonal polynomialssimple Lie groupsorthogonal multivariate polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Orthogonal polynomials and functions associated with root systems (33C52)

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