Non-commutative analogues ofq-special polynomials and aq-integral on a quantum sphere

DOI10.1088/0305-4470/31/7/011zbMath0904.33014arXivq-alg/9712008OpenAlexW2082145752MaRDI QIDQ3839359

Leonid Vainerman, Dimitri Gurevich

Publication date: 24 January 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9712008

zbMATH Keywords

\(q\)-Legendre polynomialsquantum hyperboloidquantum Casimir operator\(q\)-special polynomialsnon-commutative analogues

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 (2)

Unnamed Item ⋮ Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules

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