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math.QA2003
Factorizable quasi-Hopf algebras. Applications
Daniel Bulacu, Blas Torrecillas
We define the notion of factorizable quasi-Hopf algebra by using a categorical point of view. We show that the Drinfeld double of any finite dimensional quasi-Hopf algebra $…
math.QA2003
More properties of Yetter-Drinfeld modules over quasi-Hopf algebras
D. Bulacu, S. Caenepeel, F. Panaite
We generalize various properties of Yetter-Drinfeld modules over Hopf algebras to quasi-Hopf algebras. The dual of a finite dimensional Yetter-Drinfeld module is again a Yetter-Dri…
math.QA2003★ 1 cited
Yetter-Drinfeld categories for quasi-Hopf algebras
D. Bulacu, S. Caenepeel, F. Panaite
We show that all possible categories of Yetter-Drinfeld modules over a quasi-Hopf algebra are isomorphic. We prove also that the category $\yd^{\rm fd}$ of finite dimensional l…