44 citations · 59 across the 23 of their papers we have counts for
25 papers
Biproduct Quasi-Hopf Algebras of Rank 2
Daniel Bulacu, Matteo Misurati
Inspired by the work of Radford, for an arbitrary quasi-Hopf algebra we describe all the Hopf algebras of dimension within the braided category of left Yetter-Drinfeld modu…
Quasi-Hopf Algebras of Dimension 6
Daniel Bulacu, Matteo Misurati
We complete the classification of the 6-dimensional quasi-Hopf algebras, by proving that any such algebra is semisimple. As byproducts, we provide examples of 6-dimensional quasi-b…
Some ribbon elements for the quasi-Hopf algebra
Daniel Bulacu, Florin Panaite
We construct an explicit isomorphism between the quasitriangular quasi-Hopf algebra defined in \cite{bp} and a certain quantum double quasi-Hopf algebra. We give also new…
On sovereign, balanced and ribbon quasi-Hopf algebras
Daniel Bulacu, Blas Torrecillas
We introduce the notions of sovereign, spherical and balanced quasi-Hopf algebra. We investigate the connections between these, as well as their connections with the class of pivot…
Frobenius and separable functors for the category of entwined modules over cowreaths, I: General theory
D. Bulacu, S. Caenepeel, B. Torrecillas
Entwined modules over cowreaths in a monoidal category are introduced. They can be identified to coalgebras in an appropriate monoidal category. It is investigated when such coalge…
On Frobenius and separable algebra extensions in monoidal categories. Applications to wreaths
Daniel Bulacu, Blas Torrecillas
We characterize Frobenius and separable monoidal algebra extensions $i: R\ra S$ in terms given by and . For instance, under some conditions, we show that the extension is Fr…