Models of q-algebra representations: Matrix elements of the q-oscillator algebra
From MaRDI portal
Publication:4276769
DOI10.1063/1.530308zbMath0795.17022OpenAlexW2155083225MaRDI QIDQ4276769
Sanchita Mukherjee, Willard jun. Miller, Ernest G. Kalnins
Publication date: 9 June 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530308
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
\(q\)-rotations and Krawtchouk polynomials, On irreducible p, q‐representations of Lie algebras \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,1)$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,0)$\end{document}, An algebraic interpretation of the \(q\)-Meixner polynomials, Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’, \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory, A note on tensor products of \(q\)-algebra representations and orthogonal polynomials, Yet another basic analogue of Graf's addition formula, \((q;l,\lambda)\)-deformed Heisenberg algebra: coherent states, their statistics and geometry, On \(q\)-special matrix functions using quantum algebraic techniques, On irreducible \(p,q\)-representations of gl(2)., Quantum symmetries of q-difference equations, On models of certain \(p,q\)-algebra representations: the quantum Euclidean algebra \(\mathcal E _{p,q}(2)\), Classical and quantum Heisenberg groups, their representations and applications, On models of certain p,q-algebra representations: The p,q-oscillator algebra
Cites Work
- Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- On a Hilbert space of analytic functions and an associated integral transform part I
- q-analogues of the parabose and parafermi oscillators and representations of quantum algebras
- Canonical Equations and Symmetry Techniques forq-Series
- The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
- Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
- Lie Theory and q-Difference Equations
