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Quasi-hopf algebras associated withsl 2 and complex curves |
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| Authors: | Benjamin Enriquez Vladimir Rubtsov |
| Affiliation: | 1. Centre de Mathématiques, URA 169 du CNRS Ecole Polytechnique, 91128, Palaiseau, France 2. FIM, HG G 45.1, ETH-Zentrum, R?mistr. 101, CH-8092, Zurich, Switzerland 3. V.R.: Département de Mathématiques, Université d’Angers, 2, Bd. Lavoisier, 49045, Angers, France 4. ITEP, 25, Bol. Cheremushkinskaya, 117259, Moscow, Russia |
| Abstract: | We construct quasi-Hopf algebras quantizing double extensions of the Manin pairs of Drinfeld, associated to a curve with a meromorphic differential, and the Lie algebrasl 2. This construction makes use of an analysis of the vertex relations for the quantum groups obtained in our earlier work, PBW-type results and computation ofR-matrices for them; its key step is a factorization of the twist operator relating “conjugated” versions of these quantum groups. |
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