Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series

DOI10.1007/s00023-021-01152-yzbMath1504.17017arXiv2105.01086OpenAlexW4220943658MaRDI QIDQ2145160

Luc Vinet, Julien Gaboriaud, Nicolas Crampé, Loïc Poulain d'Andecy

Publication date: 17 June 2022

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

Full work available at URL: https://arxiv.org/abs/2105.01086

zbMATH Keywords

presentationcentercentralizerRacah algebraHilbert-Poincaré series

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Universal enveloping algebras of Lie algebras (16S30)

Related Items (8)

Generalized quadratic commutator algebras of PBW-type ⋮ Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras ⋮ The missing label of \(\mathfrak{su}_3\) and its symmetry ⋮ Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Bethe ansatz diagonalization of the Heun-Racah operator ⋮ Representations of the rank two Racah algebra and orthogonal multivariate polynomials ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras

Uses Software

• OEIS

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