Hidden symmetry of Hahn problem for sl_q(2)

2021/04/01 by A. N. Lavrenov, Lavrenov, A. N.
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Mathematical functions and polynomials #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2104.01994

openalex publication_date 2021/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A special case of Askey-Wilson algebra AW(3) with three generators is shown to serve as a hidden symmetry algebra underlying the Hahn problem for the quantum algebra sl_q(2). On the base of this hidden symmetry the corresponding Clebsch-Gordan coefficients in terms of the q-Hahn polynomials is found.

Related

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