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The Racah algebra: An overview and recent results - MaRDI portal

The Racah algebra: An overview and recent results (Q5043377)

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scientific article; zbMATH DE number 7605402

Language	Label	Description	Also known as
English	The Racah algebra: An overview and recent results	scientific article; zbMATH DE number 7605402

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scholarly article

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The Racah algebra: An overview and recent results (English)

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zbMATH Open document ID

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10.1090/conm/768/15450

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Wouter van de Vijver

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Lie Groups, Number Theory, and Vertex Algebras

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publication date

21 October 2022

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full work available at URL

https://arxiv.org/abs/2001.11195

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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Finite-dimensional irreducible modules of the Racah algebra at characteristic zero

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The universal enveloping algebra of sl2 and the Racah algebra

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The classification of finite-dimensional irreducible modules of the Racah algebra

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Temperley–Lieb, Brauer and Racah algebras and other centralizers of 𝔰𝔲(2)

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Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials

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

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The \(\mathbb{Z}_2^n\) Dirac-Dunkl operator and a higher rank Bannai-Ito algebra

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A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator

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Bannai–Ito algebras and the osp(1;2) superalgebra

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Bargmann and Barut-Girardello models for the Racah algebra

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A discrete realization of the higher rank Racah algebra

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Orthogonal Polynomials with Symmetry of Order Three

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Differential-Difference Operators Associated to Reflection Groups

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Orthogonal Polynomials of Several Variables

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The Racah algebra as a commutant and Howe duality

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The classification of Leonard triples of Racah type

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The equitable Racah algebra from three $\mathfrak {su}(1,1)$ algebras

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Superintegrability in two dimensions and the Racah-Wilson algebra

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Embeddings of the Racah algebra into the Bannai-Itô algebra

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Bispectrality of multivariable Racah-Wilson polynomials

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The Racah algebra as a subalgebra of the Bannai-Ito algebra

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A Lie-theoretic interpretation of multivariate hypergeometric polynomials

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The generic quantum superintegrable system on the sphere and Racah operators

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Symmetry algebra for the generic superintegrable system on the sphere

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Connection coefficients for classical orthogonal polynomials of several variables

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Hahn polynomials on polyhedra and quantum integrability

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Wilson polynomials and the generic superintegrable system on the 2-sphere

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Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere

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Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials

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Families of Orthogonal and Biorthogonal Polynomials on the<i>N</i>-Sphere

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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Strongly multiplicity free modules for Lie algebras and quantum groups

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Symmetrical Coupling of Three Angular Momenta

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Classical and quantum superintegrability with applications

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Racah polynomials and recoupling schemes of \(\mathfrak{su}(1,1)\)

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

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The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials

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Some multivariable orthogonal polynomials of the Askey tableau-discrete families

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The equitable presentation for the quantum group associated with a symmetrizable Kac-Moody algebra

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Coupling coefficients for Lie algebra representations and addition formulas for special functions

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Intertwining Operator and <i>h</i>-Harmonics Associated With Reflection Groups

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``Hidden symmetry'' of Askey-Wilson polynomials

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