2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152536The 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.12 pagesHigh Energy Physics - TheoryQuantum Algebratext