28 citations · 71 across the 24 of their papers we have counts for
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math.QA2004
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…
math.QA2004★ 26 cited
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.…
math.QA2004
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{…