Representations of the rank two Racah algebra and orthogonal multivariate polynomials

DOI10.1016/j.laa.2023.01.017OpenAlexW4283210340MaRDI QIDQ2689151

Eric Ragoucy, Nicolas Crampé, Luc Frappat

Publication date: 9 March 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01031

zbMATH Keywords

orthogonal polynomialsRacah algebrabivariate polynomialsTratnik polynomials

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) 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)

Related Items (7)

Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Gaudin model for the multinomial distribution ⋮ A bivariate \(Q\)-polynomial structure for the non-binary Johnson scheme ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ Identities for Rankin-Cohen brackets, Racah coefficients and associativity ⋮ An Askey-Wilson algebra of rank 2 ⋮ Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras

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