Yetter-Drinfeld-Long bimodules are modules
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 H H* as monoidal category. Moreover if H is a Hopf algebra with bijective antipode, the isomorphism is braided.
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