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arXiv · 1406.2561

Multiparameter quantum groups, bosonizations and cocycle deformations

Gaston Andres Garcia
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Abstract

We describe quantum groups given by multiparametric deformations of enveloping algebras of Kac-Moody algebras as a family of pointed Hopf algebras introduced by Andruskiewitsch and Schneider associated to a generalized Cartan matrix. We show that under some assumptions, these Hopf algebras depend only on one parameter on each connected component of the Dynkin diagram, up to a cocycle deformation. In particular, we obtain in this way a known result of Hu, Pei and Rosso.

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Gaston Andres Garcia. 2014-10-28. Multiparameter quantum groups, bosonizations and cocycle deformations. https://arxiv.org/abs/1406.2561

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