Harmonic analysis on the \(\text{SU}(2)\) dynamical quantum group

DOI10.1023/A:1013071729320zbMath1011.43003arXivmath/0010093MaRDI QIDQ5960126

H. T. Koelink, Hjalmar Rosengren

Publication date: 11 April 2002

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010093

zbMATH Keywords

Hopf algebroid\(q\)-Racah polynomialAskey-Wilson polynomialBiedenharn-Elliott identityClebsch-Gordan coefficientdynamical quantum groupdynamical Yang-Baxter equation

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Quantum groups (quantized function algebras) and their representations (20G42) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (12)

\(C^*\)-algebraic partial compact quantum groups ⋮ Pairings and actions for dynamical quantum groups ⋮ Coupling coefficients for tensor product representations of quantum SU(2) ⋮ Multiplier Hopf algebroids: Basic theory and examples ⋮ Elliptic quantum toroidal algebra \(U_{q,t,p}(\mathfrak{gl}_{1,tor})\) and affine quiver gauge theories ⋮ Vertex-IRF transformations, dynamical quantum groups and harmonic analysis ⋮ The dynamical \(U(n)\) quantum group ⋮ Elliptic quantum group \(U_{q,p}(\widehat{\mathfrak{sl}}_2)\), Hopf algebroid structure and elliptic hypergeometric series ⋮ The elliptic \(\text{GL}(n)\) dynamical quantum group as an \(\mathfrak h\)-Hopf algebroid ⋮ Measured quantum groupoids associated to proper dynamical quantum groups ⋮ Partial compact quantum groups ⋮ Elliptic algebra \(U_{q,p}(\hat{\mathfrak {g}})\) and quantum \(Z\)-algebras

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