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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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.

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