On the spherical and zonal spherical functions on a compact quantum group

DOI10.1007/BF00403545zbMath0749.33009OpenAlexW2083070919MaRDI QIDQ1182267

Kazimierz Brągiel

Publication date: 28 June 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00403545

zbMATH Keywords

spherical functionscompact quantum groupzonal spherical functions

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)

Related Items (1)

Gel'fand pair associated with the quantum group of motions of the plane and \(q\)-Bessel functions

Cites Work

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• Quantum deformation of Lorentz group
• Compact matrix pseudogroups
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus

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