The dual pair (Uq(su(1,1)),oq1/2(2n)), q-oscillators, and Askey-Wilson algebras

DOI10.1063/1.5124251zbMath1443.81042arXiv1908.04277OpenAlexW3014425560MaRDI QIDQ3298902

Luc Vinet, Julien Gaboriaud, Luc Frappat, Eric Ragoucy

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1908.04277

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Casimir effect in quantum field theory (81T55)

Related Items (5)

A Howe correspondence for the algebra of the \(\mathfrak{osp}(1 | 2)\) Clebsch-Gordan coefficients ⋮ Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials ⋮ Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials ⋮ Howe Duality and Algebras of the Askey–Wilson Type: An Overview ⋮ The Askey–Wilson algebra and its avatars

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