Recursion relations for Clebsch-Gordan coefficients of U$_{q}$(su$_{2}$) and U$_{q}$(su$_{1,1}$)

Campigotto, C; Kibler, M R; Smirnov, Yu F

Recursion relations for Clebsch-Gordan coefficients of U $_{q}$ (su $_{2}$ ) and U $_{q}$ (su $_{1,1}$ )

Authors: C Campigotto
M R Kibler
Yu F Smirnov
Publication date: 1 January 1993
Publisher

Abstract

International audienceWe 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)