R-matrices for highest weight representations of sl_q(2,C) at roots of unity

Abstract

The general formula for R-matrices of slq(2,C) for the highest weight repre- sentations both for general q and for q being a root of unity by generalizing G.Gomez's and G.Sierra's one for semiperiodic representations of slq(2,C) at roots of unity is presented.

9 pages

References in corpus (3)

• Fusion Rules and R-Matrices For Representations of $SL(2{)}_q$ at Roots of Unity
• R-matrices for the semicyclic representations of U_q sl^(2)
• New fusion rules and $\cR$-matrices for $SL(N{)}_q$ at roots of unity

Cited by in corpus (2)

• On the universal $R$-matrix of $U_q{\widehat{sl}}_2$ at roots of unity
• R-matrices of U_qOSP(1,2) for highest weight representations of U_qOSP(1,2) for general q and q is an odd root of unity