Gel'fand pair criteria for compact matrix quantum groups

DOI10.1016/0019-3577(95)98202-MzbMath0848.17007MaRDI QIDQ1901423

P. G. A. Floris

Publication date: 31 October 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

compact quantum groupsHopf *-algebraGel'fand pair

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items

Quantum homogeneous spaces, duality and quantum 2-spheres ⋮ Matrix-valued orthogonal polynomials related to the quantum analogue of \((\mathrm{SU}(2) \times \mathrm{SU}(2), \text{diag})\)

Cites Work

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Algebra of functions on the quantum group SU(2)
• Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials
• Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group
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