Hidden symmetry of Hahn problem for $sl_q(2)

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Cornell University ; arXiv:2104.01994 [math-QA])

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 slq(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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издания БГПУ, algebra, special case of Askey-Wilson algebra AW(3), quantum algebra slq(2)

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LANL : Cornell University Library, 2021. – 13 p.

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