Degenerations of Sklyanin algebra and Askey-Wilson polynomials

DOI10.1088/0305-4470/26/15/004zbMath0804.17012arXivhep-th/9303026OpenAlexW3104751346MaRDI QIDQ4291654

Alexander Gorsky, Anton V. Zabrodin

Publication date: 22 January 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9303026

zbMATH Keywords

Sklyanin algebraalgebra of functions of the quantum spheredifference equation for Askey-Wilson polynomialstrigonometric degeneration

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (14)

The rational Sklyanin algebra and the Wilson and para-Racah polynomials ⋮ Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\) ⋮ On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model ⋮ Para-Bannai-Ito polynomials ⋮ Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem ⋮ Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials ⋮ Universal \(R\)-matrix for the rational seven-vertex model ⋮ Systems of \(sl(2,\mathbb C)\) tops as two-particle systems ⋮ Continuous biorthogonality of an elliptic hypergeometric function ⋮ Integrable \(sl(N,\mathbb C)\) tops as Calogero-Moser systems ⋮ Relativistic Calogero-Moser model as gauged WZW theory. ⋮ Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras ⋮ Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators ⋮ The Askey–Wilson algebra and its avatars

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