On the Drinfeld Center of the Category of Comodules over a Co-quasitriangular Hopf Algebra

Abstract

Let $H$ be a co-quasitriangular Hopf algebra with bijective antipode. We prove that the Drinfeld center of the category of $H$-comodules is equivalent to the category of modules over some braided group. In particular, the equivalence holds not only for a finite dimensional $H$, but also for an infinite dimensional one.