Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)

1993/04/27 by Ya.I. Granovsky, Ya. I. Granovskii, Granovskii, Ya. I. +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Quantum chaos and dynamical systems #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9304138

12 pages

arxiv created 1993/04/27 · openalex publication_date 1993/04/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Askey-Wilson algebra AW(3) with three generators is shown to serve as a hidden symmetry algebra underlying the Racah and (new) generalized Clebsch-Gordan problems for the quantum algebra sl_q(2). On the base of this hidden symmetry a simple method to calculate corresponding coefficients in terms of the Askey-Wilson polynomials is proposed.

Cited by

• Factorized A₂-Leonard pair
• The rank two Jacobi algebra

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