Revisiting the Askey–Wilson algebra with the universal R-matrix of $\boldsymbol{ \newcommand{\su}{\mathfrak{sl}} U_q(\su_2)}$
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Publication:5870385
DOI10.1088/1751-8121/ab604eOpenAlexW2967519741MaRDI QIDQ5870385
Nicolas Crampé, Julien Gaboriaud, Meri Zaimi, Luc Vinet
Publication date: 9 January 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04806
Related Items (9)
Chern-Simons theory, link invariants and the Askey-Wilson algebra ⋮ Askey-Wilson braid algebra and centralizer of \(U_q (\mathfrak{sl}_2)\) ⋮ An Askey-Wilson algebra of rank 2 ⋮ A Howe correspondence for the algebra of the \(\mathfrak{osp}(1 | 2)\) Clebsch-Gordan coefficients ⋮ Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of \(U_q(\mathfrak{sl}_2)\) ⋮ Bannai-Ito algebras and the universal \(R\)-matrix of \(\mathfrak{osp}(1\!\!\mid\!\!2)\) ⋮ Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra ⋮ Braid group and 𝑞-Racah polynomials ⋮ The Askey–Wilson algebra and its avatars
Cites Work
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- Centralizers of the superalgebra $\mathfrak{osp}(1|2)$ : the Brauer algebra as a quotient of the Bannai–Ito algebra
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