We compute the R-matrix which intertwines two-dimensional evaluation representations with Drinfeld comultiplication for Uq (sl2). This R-matrix contains terms proportional to the δ-function. We construct the algebra A(R) generated by the elements of the matrices L±(z) with relations determined by R using the formulation of Reshetikhin-Semenov-Tian-Shansky. In the category of highest-weight representations, there is a Hopf algebra isomorphism between A(R) and an extension Ū9(sl2) of Drinfeld's algebra.
- Drinfeld comultiplication
- Hopf algebra
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics