2,303 research outputs found
Separable functors in corings
We give characterizations of the separability of the induction and
ad-induction functors associated to a coring morphism.Comment: 23 page
Factorizable quasi-Hopf algebras. Applications
We define the notion of factorizable quasi-Hopf algebra by using a
categorical point of view. We show that the Drinfeld double of any
finite dimensional quasi-Hopf algebra is factorizable, and we characterize
when itself is factorizable. Finally, we prove that any finite
dimensional factorizable quasi-Hopf algebra is unimodular. In particular, we
obtain that the Drinfeld double is a unimodular quasi-Hopf algebra.Comment: 35 page
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