Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials

DOI10.1063/5.0024444zbMath1456.81265arXiv2008.03266OpenAlexW3124351699MaRDI QIDQ5148695

Alexei Zhedanov, Julien Gaboriaud, Geoffroy Bergeron, Luc Vinet

Publication date: 4 February 2021

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

Full work available at URL: https://arxiv.org/abs/2008.03266

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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (6)

The rational Sklyanin algebra and the Wilson and para-Racah polynomials ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ Elliptic Racah polynomials ⋮ Bispectrality and biorthogonality of the rational functions of \(q\)-Hahn type ⋮ Para-Bannai-Ito polynomials ⋮ Orthogonal polynomials and the deformed Jordan plane

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