Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions
DOI10.1063/5.0173787arXiv2308.12809OpenAlexW4389196621MaRDI QIDQ6064801
Luc Vinet, Loïc Poulain d'Andecy, Julien Gaboriaud, Nicolas Crampé
Publication date: 11 December 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.12809
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Cites Work
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- \(q\)-rotations and Krawtchouk polynomials
- Superintegrability in two dimensions and the Racah-Wilson algebra
- An introduction to multivariate Krawtchouk polynomials and their applications
- Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere
- A discrete realization of the higher rank Racah algebra
- Racah polynomials and recoupling schemes of \(\mathfrak{su}(1,1)\)
- Bispectrality of multivariable Racah-Wilson polynomials
- A probabilistic origin for a new class of bivariate polynomials
- On the nonbinary Johnson scheme
- Spectral analysis of generators of representations of the group U(3)
- An algebraic interpretation of the multivariate \(q\)-Krawtchouk polynomials
- Finite-dimensional irreducible modules of the Racah algebra at characteristic zero
- Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series
- Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials
- Embeddings of the Racah algebra into the Bannai-Itô algebra
- The relationship between Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case
- Representations of the rank two Racah algebra and orthogonal multivariate polynomials
- The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$
- The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
- A Lie-theoretic interpretation of multivariate hypergeometric polynomials
- Gelfand–Tsetlin Bases for Classical Lie Algebras
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Some Hypergeometric Orthogonal Polynomials
- Orthogonal Polynomials, Duality and Association Schemes
- Some multivariable orthogonal polynomials of the Askey tableau-discrete families
- 9j-symbols of the oscillator algebra and Krawtchouk polynomials in two variables
- Coupling coefficients for Lie algebra representations and addition formulas for special functions
- A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator
- The Racah algebra as a commutant and Howe duality
- LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
- Linear covariance algebra for SLq(2)
- Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
- (𝑛+1,𝑚+1)-hypergeometric functions associated to character algebras
- The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states
- Temperley–Lieb, Brauer and Racah algebras and other centralizers of 𝔰𝔲(2)
- New realizations of algebras of the Askey–Wilson type in terms of Lie and quantum algebras
- The Casimir elements of the Racah algebra
- The universal enveloping algebra of sl2 and the Racah algebra
- Wilson polynomials and the generic superintegrable system on the 2-sphere
- Symmetrical Coupling of Three Angular Momenta
- The equitable Racah algebra from three $\mathfrak {su}(1,1)$ algebras
- Representations of finite U3 transformations
- Orthogonal Polynomials on the Multinomial Distribution
- A Multi-dimensional Linear Growth Birth and Death Process
- Polynomial algebras from su(3) and a quadratically superintegrable model on the two sphere
- The Askey–Wilson algebra and its avatars
- Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
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