\(q\)-Laguerre polynomial realization of \(\mathfrak{gl}_{\sqrt{q}}(N)\)-covariant oscillator algebra

DOI10.1023/A:1026635813560zbMath0934.33027OpenAlexW81798476MaRDI QIDQ1302689

V. Pereyra

Publication date: 10 April 2000

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026635813560

zbMATH Keywords

\(q\)-deformationoscillator algebragroup element

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ Some integrals involving \(q\)-Laguerre polynomials and applications ⋮ q-Laguerre polynomials and related q-partial differential equations

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