4 papers · 1 filter
Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras
D. Bulacu, S. Caenepeel, B. Torrecillas
For a quasi-Hopf algebra , a left -comodule algebra $\mf{B}$ and a right -module coalgebra we will characterize the category of Doi-Hopf modules ${}^C{\cal M}(H)_{\mf{…
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 $…
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…
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…