Yetter-Drinfeld-Long bimodules are modules

2015/12/29 by Lu, Daowei, Wang, Shuanhong · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1512.08588

Abstract

Let H be a finite dimensional bialgebra. In this paper, we prove that the category of Yetter-Drinfeld-Long bimodules is isomorphic to the Yetter-Drinfeld category over the tensor product bialgebra HøH^* as monoidal category. Moreover if H is a Hopf algebra with bijective antipode, the isomorphism is braided.

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• BiHom-L-R-smash biproduct and BiHom-Yetter-Drinfel'd-Long category

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