Factorizable quasi-Hopf algebras—applications

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• 作者：Bulacu ; Daniel ; Torrecillas ; Blas
• 关键词：57T05 ; 81R05 ; 81R50
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2004
• 期刊代码：35_00224049
• 类别：mt
• 出版时间：November 1, 2004
• 卷：194
• 期：1-2
• 页码：39-84
• 文件大小：561 K

摘要

We define the notion of factorizable quasi-Hopf algebra by using a categorical point of view. We show that the Drinfeld double D(H) of any finite dimensional quasi-Hopf algebra H is factorizable, and we characterize D(H) when H itself is factorizable. Finally, we prove that any finite dimensional factorizable quasi-Hopf algebra is unimodular. In particular, we obtain that the Drinfeld double D(H) is a unimodular quasi-Hopf algebra.