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

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

1993-04-27

arxiv.org/abs/hep-th/9304138v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

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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