DYNAMICAL TWISTS IN HOPF ALGEBRAS 3 Proof

We establish a bijective correspondence between gauge equivalence classes of dynamical twists in a finite-dimensional Hopf algebra H based on a finite abelian group A and equivalence classes of pairs (K, {V λ } λ∈ b A), where K is an H-simple left H-comodule semisimple algebra and {V λ } λ∈ b A is a family of irreducible representations satisfying certain conditions. Our results generalize the results obtained by Etingof-Nikshych on the classification of dynamical twists in group algebras .