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

DOI10.1007/s00023-020-00972-8zbMath1490.17011arXiv1909.12643OpenAlexW3093839076WikidataQ115389928 ScholiaQ115389928MaRDI QIDQ2216168

Wouter van de Vijver, Luc Vinet, Nicolas Crampé

Publication date: 15 December 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12643

zbMATH Keywords

Racah algebraKrawtchouk polynomialoscillator algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

The Racah algebra: An overview and recent results ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Orthogonal functions related to Lax pairs in Lie algebras ⋮ Gaudin model for the multinomial distribution ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ The Racah Algebra and "Equation missing" ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

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