The \(q\)-Higgs and Askey-Wilson algebras

DOI10.1016/j.nuclphysb.2019.114632zbMath1430.81042arXiv1903.04616OpenAlexW2992398162MaRDI QIDQ2295500

Luc Vinet, Julien Gaboriaud, Luc Frappat, Eric Ragoucy

Publication date: 13 February 2020

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04616

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Universal enveloping (super)algebras (17B35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

A Howe correspondence for the algebra of the \(\mathfrak{osp}(1 | 2)\) Clebsch-Gordan coefficients ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra at roots of unity ⋮ Finite-dimensional modules of the universal Askey-Wilson algebra and DAHA of type \((C_1^\vee ,C_1)\) ⋮ Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra ⋮ Howe Duality and Algebras of the Askey–Wilson Type: An Overview ⋮ The Askey–Wilson algebra and its avatars

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