Spectral analysis and the Haar functional on the quantum \(SU(2)\) group

DOI10.1007/BF02101899zbMath0848.22029arXivmath/9412225OpenAlexW2063031443MaRDI QIDQ1918103

J. Verding, H. T. Koelink

Publication date: 21 October 1996

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

Full work available at URL: https://arxiv.org/abs/math/9412225

zbMATH Keywords

orthogonal polynomialsJacobi matricesspectral analysisorthogonality measuresHaar functionalcorepresentation theoryirreducible unitary corepresentationsquantum \(SU(2)\) groupSchur's orthogonality relations

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) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (4)

Coupling coefficients for tensor product representations of quantum SU(2) ⋮ Spectral decomposition and matrix-valued orthogonal polynomials ⋮ Contiguous relations, continued fractions and orthogonality ⋮ Locally compact quantum groups

Cites Work

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• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• The Addition Formula for Continuousq-Legendre Polynomials and Associated Spherical Elements on the $SU(2)$ Quantum Group Related to Askey–Wilson Polynomials
• Addition Formula For Big q-Legendre Polynomials From The Quantum Su(2) Group
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