Hidden symmetry of Hahn problem for $sl_q(2)

Published 1 Apr 2021 in math.QA | (2104.01994v1)

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.

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A. N. Lavrenov

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