28 citations · 71 across the 23 of their papers we have counts for
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A categorical approach to Turaev's Hopf group-coalgebras
S. Caenepeel, M. De Lombaerde
We show that Turaev's group-coalgebras and Hopf group-coalgebras are coalgebras and Hopf algebras in a symmetric monoidal category, which we call the Turaev category. A similar res…
Yetter-Drinfeld modules over weak Hopf algebras and the center construction
S. Caenepeel, Dingguo Wang, Yanmin Yin
We introduce Yetter-Drinfeld modules over a weak Hopf algebra , and show that the category of Yetter-Drinfeld modules is isomorphic to the center of the category of -modules.…
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{…
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…
Two-sided (two-cosided) Hopf modules and Doi-Hopf modules for quasi-Hopf algebras
D. Bulacu, S. Caenepeel
Let be a finite dimensional quasi-Hopf algebra over a field and a right -comodule algebra in the sense of Hausser and Nill. We first show that on the …