Recursion relations for Clebsch-Gordan coefficients of U$_q$(SU$_2$) and U$_q$(SU$_{1,1}$)
Abstract
We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras U_q(su_2) and U_q(su_{1,1}). These relations were obtained by exploiting the complementarity of three quantum algebras in a q-deformation of sp(8, \gr).