dorsal/arxiv
View SchemaSingular R-matrices and Drinfeld's comultiplication
| Authors | Rinat Kedem |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611001 |
| URL | https://arxiv.org/abs/q-alg/9611001 |
Abstract
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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"abstract": "We compute the R-matrix which intertwines two dimensional evaluation\nrepresentations with Drinfeld comultiplication for U_q(\\widehat{sl}_2). This\nR-matrix contains terms proportional to the delta-function. We construct the\nalgebra A(R) generated by the elements of the matrices L^\\pm(z) with relations\ndetermined by R. In the category of highest weight representations, there is a\nHopf algebra isomorphism between A(R) and an extension\n\\overline{U}_q(\\widehat{sl}_2)} of Drinfeld\u0027s algebra.",
"arxiv_id": "q-alg/9611001",
"authors": [
"Rinat Kedem"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Singular R-matrices and Drinfeld\u0027s comultiplication",
"url": "https://arxiv.org/abs/q-alg/9611001"
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