Making the Category of Doi-Hopf Modules into a Braided Monoidal Category
by Caenepeel, S.; Van Oystaeyen, F.; Zhou, Borong
We investigate how the category of Doi-Hopf modules can be made into a monoidal category. It suffices that the algebra and coalgebra in question are both bialgebras with some extra compatibility relation. We study tensor identies for monoidal categories of Doi-Hopf modules. Finally, we construct braidings on a monoidal category of Doi-Hopf modules. Our construction unifies quasitriangular and coquasitriangular Hopf algebras, and Yetter-Drinfel’d modules.
DOI: 10.1023/A:1009916416083
Print publication date: 3/1/1998
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