The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials

DOI10.1063/1.529710zbMath0764.17009OpenAlexW1981713013MaRDI QIDQ3992326

Luc Vinet, Roberto Floreanini

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.529710

zbMATH Keywords

basic hypergeometric functionsquantum groupsoscillator representationquantum algebra\(q\)-generalized Gegenbauer polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

On the quantum group and quantum algebra approach to \(q\)-special functions, Quantum algebra approach to \(q\)-Gegenbauer polynomials, Representations of the quantum algebra suq(2) on a real two-dimensional sphere, Addition formulas for q-Bessel functions

Cites Work

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• The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
• q-oscillator realizations of the metaplectic representation of quantum osp(3,2)