On models of certain p,q-algebra representations: The p,q-oscillator algebra
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Publication:5504915
DOI10.1063/1.2908158zbMath1152.81599OpenAlexW2067511298MaRDI QIDQ5504915
Publication date: 23 January 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2908158
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)
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Cites Work
- Lie theory and special functions
- Representations of two parameter quantum algebras and \(p,q\)-special functions
- Irreducible Representations of Deformed Oscillator Algebra and q-Special Functions
- A (p, q)-oscillator realization of two-parameter quantum algebras
- Models of q-algebra representations: Matrix elements of the q-oscillator algebra
- A note on (p, q)-oscillators and bibasic hypergeometric functions
- Models ofQ-Algebra Representations: The Group of Plane Motions
- P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
- Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory
- On (p,q, μ, ν, phi1, phi2)-generalized oscillator algebra and related bibasic hypergeometric functions
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