Singular R-matrices and Drinfeld's comultiplication
Abstract
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 delta-function. We construct the algebra A(R) generated by the elements of the matrices L(z) with relations determined by R. In the category of highest weight representations, there is a Hopf algebra isomorphism between A(R) and an extension Uq(sl2) of Drinfeld's algebra.
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