Unitary representations of the quantum algebra suq(2) on a real two-dimensional sphere for q∈R+ or generic q∈S1

DOI10.1063/1.532751zbMath0961.81035arXivmath/9808091OpenAlexW3104918009MaRDI QIDQ4701912

Christiane Quesne, Michèle Irac-Astaud

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math/9808091

zbMATH Keywords

quantum algebraorthonormality\(q\)-Vilenkin 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)

Cites Work

• Representations of the quantum algebra suq(2) on a real two-dimensional sphere
• A Rodriguez formula and integration measure for the quantum deformed Legendre functions

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