Multivariable \(q\)-Hahn polynomials as coupling coefficients for quantum algebra representations

DOI10.1155/S0161171201012017zbMath1049.33014OpenAlexW2136049232MaRDI QIDQ1607747

Hjalmar Rosengren

Publication date: 13 August 2002

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

Full work available at URL: https://eudml.org/doc/50996

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (6)

\(3nj\)-symbols and identities for \(q\)-Bessel functions ⋮ Some systems of multivariable orthogonal \(q\)-Racah polynomials ⋮ An algebraic interpretation of the multivariate \(q\)-Krawtchouk polynomials ⋮ Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials ⋮ The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials ⋮ A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality

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