4 citations · 6 across the 4 of their papers we have counts for
4 papers
A characterization of weak Hopf (co)quasigroups
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez
In this paper we show that weak Hopf (co)quasigroups can be characterized by a Galois-type condition. Taking into account that this notion generalizes the ones of Hopf (co)quasigro…
Equivalences for weak crossed products
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Ana Belén Rodríguez Raposo
In this paper we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we…
Cohomology of algebras over weak Hopf algebras
J. N. Alonso Alvarez, J. M. Fernandez Vilaboa, R. Gonzalez Rodriguez
In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely the weak crossed products,…
The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez +1
In this paper we introduce the notion of weak operator and the theory of Yetter-Drinfeld modules over a weak braided Hopf algebra with invertible antipode in a strict monoidal cate…