  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 $H\o H^*$ as monoidal category.
Moreover if $H$ is a Hopf algebra with bijective antipode, the isomorphism is
braided.
