28 citations · 71 across the 23 of their papers we have counts for
8 papers · 1 filter
The relative Picard group of a comodule algebra and Harrison cohomology
S. Caenepeel, T. Guedenon
Let be a commutative comodule algebra over a commutative bialgebra . The group of invertible relative Hopf modules maps to the Picard group of , and the kernel is describ…
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.…
The equivariant Brauer group of a group
S. Caenepeel, F. Van Oystaeyen, Y. H. Zhang
We consider the Brauer group of a group (finite or infinite) over a commutative ring with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\…
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{…
Galois corings applied to partial Galois theory
S. Caenepeel, E. De Groot
Partial Galois extensions were recently introduced by Dokuchaev, Ferrero and Paques. We introduce partial Galois extensions for noncommutative rings, using the theory of Galois cor…