2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152606The representation theory of the quantum group su$_q(2)$ is used to introduce $q$-analogues of the Wigner rotation matrices, spherical functions, and Legendre polynomials. The method amounts to an extension of variable separation from Laplace equations to certain differential-dilation equations.8 pagesHigh Energy Physics - TheoryQuantum AlgebraSpherical Functions for the Quantum Group su_q(2)text