The decomposition of tensor products of representations into irreducibles is
studied for a continuous family of integrable operator representations of
Uq(sl(2,R). It is described by an explicit integral transformation involving
a distributional kernel that can be seen as an analogue of the Clebsch-Gordan
coefficients. Moreover, we also study the relation between two canonical
decompositions of triple tensor products into irreducibles. It can be
represented by an integral transformation with a kernel that generalizes the
Racah-Wigner coefficients. This kernel is explicitly calculated.Comment: 39 pages, AMS-Latex; V2: Added comments and references concerning
relation to Faddeev's modular double, minor corrections, version to be
published in CM