A Morita context and Galois extensions for Quasi-Hopf algebras

Abstract

If H is a finite dimensional quasi-Hopf algebra and A is a left H-module algebra, we prove that there is a Morita context connecting the smash product A#H and the subalgebra of invariants AH. We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.

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