Dual to twisting theory for weak Hopf algebras. (English) Zbl 1199.16060
Summary: We study the dual case of the twisting theory of weak Hopf algebras. Using the equivalence between the (braided) monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebras, we get the Long module category which is a braided tensor subcategory of a Yetter-Drinfel’d module category.
MSC:
16T05 | Hopf algebras and their applications |
18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
16S40 | Smash products of general Hopf actions |