T. Hakobyan et A. Sedrakyan, ON THE UNIVERSAL R-MATRIX OF U-Q(SL)OVER-CAP(2) AT ROOTS OF UNITY, Communications in Mathematical Physics, 177(1), 1996, pp. 157-171
We show that the action of the universal R-matrix of the affine <U-q(s
l)over bar (2)> quantum algebra, when q is a root of unity, can be ren
ormalized by some scalar factor to give a well-defined nonsingular exp
ression, satisfying the Yang-Baxter equation. It can be reduced to int
ertwining operators of representations, corresponding to Chiral Potts,
if the parameters of these representations lie on the well-known alge
braic curve. We also show that the affine <U-q(sl)over bar (2)> for q
is a root of unity from the autoquasitriangular Hopf algebra in the se
nse of Reshetikhin.