Equivalences of Yetter-Drinfeld categories over weak braided Hopf algebras

Carlos Soneira Calvo
Monday, July 22, 2013 - from 17:30 to 17:55
In this work we define several categories of Yetter-Drinfeld modules over a weak braided Hopf algebra appearing when considering the various possibilities concerned to left or right side of the (co)module structures, and also when changing the weak braided Hopf algebra by its (co)opposite. We explicitly establish a categorical equivalence between all of them, recovering as a particular instance the theory developed for the case of bialgebras in [6]. Finally, we provide an example coming from projections of weak braided Hopf algebras that illustrates the general categorical results.