Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra
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Publication:2297930
DOI10.3842/SIGMA.2019.099zbMath1479.16032arXiv1908.11654OpenAlexW2970547233MaRDI QIDQ2297930
Publication date: 20 February 2020
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11654
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coalgebras and comodules; corings (16T15)
Related Items (10)
The Racah algebra: An overview and recent results ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ Chern-Simons theory, link invariants and the Askey-Wilson algebra ⋮ Askey-Wilson braid algebra and centralizer of \(U_q (\mathfrak{sl}_2)\) ⋮ Representations of the rank two Racah algebra and orthogonal multivariate polynomials ⋮ An Askey-Wilson algebra of rank 2 ⋮ The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra ⋮ The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials ⋮ Revisiting the Askey–Wilson algebra with the universal R-matrix of $\boldsymbol{ \newcommand{\su}{\mathfrak{sl}} U_q(\su_2)}$ ⋮ The Askey–Wilson algebra and its avatars
Cites Work
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- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
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