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                <term xml:lang="en">Quasi-Hopf algebras</term>
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              <p>We study the universal Hopf algebra L of Majid and Lyubashenko in the case that the underlying ribbon category is the category of representations of a finite dimensional ribbon quasi-Hopf algebra A . We show that L=A⁎ with coadjoint action and compute the Hopf algebra structure morphisms of L in terms of the defining data of A . We give explicitly the condition on A which makes Rep   A factorisable and compute Lyubashenko's projective SL(2,Z) -action on the centre of A in this case.</p>
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