The Askey–Wilson algebra and its avatars
Abstract The original Askey–Wilson algebra introduced by Zhedanov encodes the
bispectrality properties of the eponym polynomials. The name Askey–Wilson algebra is …
bispectrality properties of the eponym polynomials. The name Askey–Wilson algebra is …
Representations of the rank two Racah algebra and orthogonal multivariate polynomials
The algebraic structure of the rank two Racah algebra is studied in detail. We provide an
automorphism group of this algebra, which is isomorphic to the permutation group of five …
automorphism group of this algebra, which is isomorphic to the permutation group of five …
The Higher Rank q-Deformed Bannai-Ito and Askey-Wilson Algebra
H De Bie, H De Clercq, W van de Vijver - … in Mathematical Physics, 2020 - Springer
Abstract The q-deformed Bannai-Ito algebra was recently constructed in the threefold tensor
product of the quantum superalgebra osp _q (1 | 2) osp q (1| 2). It turned out to be …
product of the quantum superalgebra osp _q (1 | 2) osp q (1| 2). It turned out to be …
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
Dualities in the q‐Askey Scheme and Degenerate DAHA
TH Koornwinder, M Mazzocco - Studies in Applied …, 2018 - Wiley Online Library
Abstract The Askey–Wilson polynomials are a four‐parameter family of orthogonal
symmetric Laurent polynomials that are eigenfunctions of a second‐order q‐difference …
symmetric Laurent polynomials that are eigenfunctions of a second‐order q‐difference …
The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q (sl_2)
P Terwilliger - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2011 - emis.de
The Universal Askey–Wilson Algebra and the Equitable Presentation of Uq(sl2) Page 1
Symmetry, Integrability and Geometry: Methods and Applications SIGMA 7 (2011), 099, 26 …
Symmetry, Integrability and Geometry: Methods and Applications SIGMA 7 (2011), 099, 26 …
The Universal Askey-Wilson Algebra and DAHA
P Terwilliger - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2013 - emis.de
Let $\mathbb F $ denote a field, and fix a nonzero $ q\in\mathbb F $ such that $ q^ 4\not= 1$.
The universal Askey-Wilson algebra $\Delta_q $ is the associative $\mathbb F $-algebra …
The universal Askey-Wilson algebra $\Delta_q $ is the associative $\mathbb F $-algebra …
A higher rank extension of the Askey-Wilson algebra
S Post, A Walter - arxiv preprint arxiv:1705.01860, 2017 - arxiv.org
A novel generalization of the Askey-Wilson algebra is presented and shown to be
associated with coproducts in the quantum algebra $ U_q (su (1, 1)) $. This algebra has 15 …
associated with coproducts in the quantum algebra $ U_q (su (1, 1)) $. This algebra has 15 …
[HTML][HTML] An embedding of the universal Askey–Wilson algebra into Uq (sl2)⊗ Uq (sl2)⊗ Uq (sl2)
HW Huang - Nuclear Physics B, 2017 - Elsevier
Abstract The Askey–Wilson algebras were used to interpret the algebraic structure hidden in
the Racah–Wigner coefficients of the quantum algebra U q (sl 2). In this paper, we display …
the Racah–Wigner coefficients of the quantum algebra U q (sl 2). In this paper, we display …
An Askey-Wilson algebra of rank 2
W Groenevelt, C Wagenaar - SIGMA. Symmetry, Integrability and …, 2023 - emis.de
An algebra is introduced which can be considered as a rank 2 extension of the Askey-
Wilson algebra. Relations in this algebra are motivated by relations between coproducts of …
Wilson algebra. Relations in this algebra are motivated by relations between coproducts of …