Singular R-matrices and Drinfeld's comultiplication

Details Singular R-matrices and Drinfeld's comultiplication Singular R-matrices and Drinfeld's comultiplication

1996-11-03

arxiv.org/abs/q-alg/9611001v2

Mathematics

Quantum Algebra

9 pages, AMS latex

Scientific paper

We compute the R-matrix which intertwines two dimensional evaluation representations with Drinfeld comultiplication for U_q(\widehat{sl}_2). This R-matrix contains terms proportional to the delta-function. We construct the algebra A(R) generated by the elements of the matrices L^\pm(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 \overline{U}_q(\widehat{sl}_2)} of Drinfeld's algebra.

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