RT Journal Article
T1 Yetter–Drinfeld categories associated with a weak braided Hopf algebra
A1 Alonso Álvarez, Jose Nicanor
A1 Fernández Vilaboa, José Manuel
A1 González Rodríguez, Ramón
A1 Soneira Calvo, Carlos
K1 1201 Álgebra
AB In a previous paper, the authors introduced the monoidal category of left–left Yetter–Drinfeld modules over a weak braided Hopf algebra in a strict monoidal category. The main goal of this work is to define the categories of right–right, left–right and right–left Yetter–Drinfeld modules over a weak braided Hopf algebra and prove that there exists a categorical equivalence between all of them. We also establish the categorical equivalences by changing the weak braided Hopf algebra D by its (co)opposite. Finally, the general results are illustrated with an example coming from the projections of weak braided Hopf algebras.
PB Arabian Journal of Mathematics
SN 21935343
YR 2012
FD 2012-09-13
LK http://hdl.handle.net/11093/3336
UL http://hdl.handle.net/11093/3336
LA eng
NO Arabian Journal of Mathematics, 2, 1-18 (2012)
NO Ministerio de Ciencia e Innovación | Ref. MTM2010-15634
DS Investigo
RD 23-abr-2025