28 citations · 71 across the 23 of their papers we have counts for
6 papers · 1 filter
Maschke functors, semisimple functors and separable functors of the second kind. Applications
S. Caenepeel, G. Militaru
We introduce separable functors of the second kind (or -separable functors) and -Maschke functors. -separable functors are generalizations of separable functors. Various n…
The quantum double for quasitriangular quasi-Hopf algebras
D. Bulacu, S. Caenepeeel
Let be the quantum double associated to a finite dimensional quasi-Hopf algebra . In this note, we first generalize a result of Majid, stating that a finite dimensional H…
Integrals for (dual) quasi-Hopf algebras. Applications
D. Bulacu, S. Caenepeel
A classical result in the theory of Hopf algebras concerns the uniqueness and existence of integrals: for an arbitrary Hopf algebra, the integral space has dimension , and…
On gradings of matrix algebras and descent theory
S. Caenepeel, S. Dăscălescu, C. Năstăsescu
We classify gradings on matrix algebras by a finite abelian group. A grading is called good if all elementary matrices are homogeneous. For cyclic groups, all gradings on a matrix…
Frobenius Functors of the second kind
S. Caenepeel, E. De Groot, G. Militaru
A pair of adjoint functors is called a Frobenius pair of the second type if is a left adjoint of for some category equivalences and . Frobenius ring extens…
Doi-Koppinen modules for quantum groupoids
Tomasz Brzezinski, Stefaan Caenepeel, Gigel Militaru
A definition of a Doi-Koppinen datum over a noncommutative algebra is proposed. The idea is to replace a bialgebra in a standard Doi-Koppinen datum with a bialgebroid. The correspo…