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

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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.
13 pages. This is a contribution to the Vth Conference on Mathematical Physics, Edirne, Turkey 15-22 Dec. 1991

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