Recursion Relations for Clebsch-Gordan Coefficients of Uq(su2) and Uq(su1,1)

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 $sp(8, gr)$.