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An Askey-Wilson algebra of rank 2 - MaRDI portal

An Askey-Wilson algebra of rank 2 (Q2693727)

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scientific article; zbMATH DE number 7667625

Language	Label	Description	Also known as
English	An Askey-Wilson algebra of rank 2	scientific article; zbMATH DE number 7667625

Statements

scholarly article

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An Askey-Wilson algebra of rank 2 (English)

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W. G. M. Groenevelt

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

24 March 2023

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full work available at URL

https://arxiv.org/abs/2206.03986

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zbMATH Keywords

Askey-Wilson algebra

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\(q\)-Racah polynomials

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MaRDI profile type

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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

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The<i>q</i>-Onsager algebra and multivariable<i>q</i>-special functions

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The Askey–Wilson algebra and its avatars

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Representations of the rank two Racah algebra and orthogonal multivariate polynomials

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Revisiting the Askey–Wilson algebra with the universal <i>R</i>-matrix of $\boldsymbol{ \newcommand{\su}{\mathfrak{sl}} U_q(\su_2)}$

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The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials

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The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra

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Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra

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Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials

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Some systems of multivariable orthogonal \(q\)-Racah polynomials

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Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials

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Linear covariance algebra for SL<sub>q</sub>(2)

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Bilinear summation formulas from quantum algebra representations

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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials

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Finite-dimensional irreducible modules of the universal Askey-Wilson algebra

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An embedding of the universal Askey-Wilson algebra into \(\operatorname{U}_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2) \otimes U_q(\mathfrak{sl}_2)\)

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Bispectral commuting difference operators for multivariable Askey-Wilson polynomials

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations

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Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

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The relationship between Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case

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Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra

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Leonard pairs from 24 points of view.

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The universal Askey-Wilson algebra

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The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\)

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The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\)

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The \(q\)-Onsager algebra and the universal Askey-Wilson algebra

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LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS

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Normalized Leonard pairs and Askey--Wilson relations

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``Hidden symmetry'' of Askey-Wilson polynomials

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Identifiers

10.3842/SIGMA.2023.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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IPFS content identifier

bafkreianm552a7yjnex5aaoegsvlaoorhjpzd2uexvjfoy2smubyy4ijya

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Sitelinks

Mathematics(1 entry)

mardi Publication:2693727

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