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 A^{H}. We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.

20 pages, minor changes, accepted to Communications in Algebra

References in corpus (1)

• Central Invariants and Frobenius-Schur Indicators for Semisimple Quasi-Hopf Algebras

Cited by in corpus (1)

• Galois extensions for coquasi-Hopf algebras