We deÿne the notion of factorizable quasi-Hopf algebra by using a categorical point of view. We show that the Drinfeld double D(H ) of any ÿnite dimensional quasi-Hopf algebra H is factorizable, and we characterize D(H ) when H itself is factorizable. Finally, we prove that any ÿnite dimensional factorizable quasi-Hopf algebra is unimodular. In particular, we obtain that the Drinfeld double D(H ) is a unimodular quasi-Hopf algebra.
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