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Hidden symmetry of Hahn problem for $sl_q(2)

Quantum Algebra 2021-04-06 v1

Abstract

A special case of Askey-Wilson algebra AW(3)AW(3) with three generators is shown to serve as a hidden symmetry algebra underlying the Hahn problem for the quantum algebra slq(2)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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Cite

@article{arxiv.2104.01994,
  title  = {Hidden symmetry of Hahn problem for $sl_q(2)},
  author = {A. N. Lavrenov},
  journal= {arXiv preprint arXiv:2104.01994},
  year   = {2021}
}

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11 pages