Abstract
Let H be a weak Hopf algebra with an idempotent element p. Denote by Hp some twisted weak Hopf algebra associated with a generalized Drinfeld twist . Let be a bicovariant differential calculus on H. We give some method to construct a bicovariant differential calculus on Hp by a generalized Drinfeld twist, where is some subspace of Γ determined by . As an application, we present some examples of bicovariant differential calculi on some face algebra and its quantum double.
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