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