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

Ya. I. Granovskii; A. S. Zhedanov

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arXiv · hep-th/9304138

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

Ya. I. Granovskii·A. S. Zhedanov

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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.

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Ya. I. Granovskii, A. S. Zhedanov. 1993-04-27. Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2). https://arxiv.org/abs/hep-th/9304138

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