Clebsch-Gordan problem for the three-dimensional Lorentz group in the elliptic basis: II. Tensor products involving discrete series

Abstract

Following the approach of Kerimov and Verdiyev (1998 J. Phys. A: Math. Gen. 31 3573) the Clebsch-Gordan (CG) coefficients in a SO(2) basis for tensor products involving discrete series representations of SO0(2,1) are calculated. A completeness relation for CG coefficients for all the cases under consideration is derived.