Fusion rules of \(U_ q(sl(2,\mathbb{C})),q^ m=1\) (Q1174724)

The author classifies the finite dimensional irreducible representations of \(U_ q(sl(2,\mathbb{C}))\), \(q^ m=1\), in two families, a discrete one and a continuous one. Then he gives the decomposition in irreducible components of the tensor product of two irrducible representations in the discrete family, or one in the discrete family and the other, a special case in the continuous one.