R-matrices for highest weight representations of at roots of unity

R-matrices for for highest weight representations of Uqosp(1, 2) for general q and q an odd root of unity

“…Intertwiners of such type for U q sl(2, C) and U q sl(n, C) had been considered in [20,21,22]. It can be proven as above (see [17] for more detail for the case of U q sl(2, C)) that the restriction of R(x) M λ ⊗M q 1 2 j ( R(x) M q 1 2 j ⊗M λ ) to V λ,α ⊗ V j (V j ⊗ V λ,α ) is well defined for all values of parameters λ, α, x.…”

“…But intertwiners for cyclic representations [7,8] exists in this case also [9,10,11,12,13,14] with a spectral parameter, lying on some algebraic curve, and correspond to Chiral Potts model [15,16]. In [17] using the method of [13] had constructed the general formula for R-matrix of U q sl(2, C) for highest weight representations of U q sl(2, C) both for general q and q is a root of unity.…”