  We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous
series of representations of the quantum deformed algebras U_q(sl(2)) and
U_q(osp(1|2)). While our results for the former algebra reproduce formulas by
Ponsot and Teschner, the expressions for the orthosymplectic algebra are new.
Up to some normalization factors, the associated Racah-Wigner coefficients are
shown to agree with the fusing matrix in the Neveu-Schwarz sector of N=1
supersymmetric Liouville field theory.
