On the higher-rank Askey-Wilson algebras
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Publication:6667530
DOI10.3842/SIGMA.2024.115MaRDI QIDQ6667530
Publication date: 20 January 2025
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Braid groups; Artin groups (20F36) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Cites Work
- The universal Askey-Wilson algebra
- Finite-dimensional irreducible modules of the universal Askey-Wilson algebra
- A discrete realization of the higher rank Racah algebra
- Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra
- ``Hidden symmetry of Askey-Wilson polynomials
- On Askey-Wilson algebra
- Finite-dimensional irreducible modules of the universal Askey-Wilson algebra at roots of unity
- Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of \(U_q(\mathfrak{sl}_2)\)
- Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra
- The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra
- The relationship between Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case
- An Askey-Wilson algebra of rank 2
- The Askey-Wilson function transform
- LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
- A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
- 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
- The higher-rank Askey-Wilson algebra and its braid group automorphisms
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