Fusion Rules and R-Matrices For Representations of $SL(2)_q$ at Roots of Unity

Abstract

We recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of \cR-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter equations.Comment: 13 pages. This is a contribution to the Vth Conference on Mathematical Physics, Edirne, Turkey 15-22 Dec. 199