Fulltext

Quasi-hopf algebras associated with sl 2 and complex curves

Enriquez, Benjamin ; Rubtsov, Vladimir

In: Israel Journal of Mathematics, 1999, vol. 112, no. 1, p. 61-108

Ajouter à la liste personnelle
    Titre
    • Quasi-hopf algebras associated with sl 2 and complex curves
    Auteur
    • Enriquez, Benjamin. Centre de Mathématiques, URA 169 du CNRS Ecole Polytechnique, 91128, Palaiseau, France
    • Rubtsov, Vladimir. V.R.: Département de Mathématiques, Université d'Angers, 2, Bd. Lavoisier, 49045, Angers, France
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Israel Journal of Mathematics, 1999, vol. 112, no. 1, p. 61-108. Springer-Verlag
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:319967
    Summary
    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