A Morita context and Galois extensions for Quasi-Hopf algebras
Abstract
Description
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
20 pages, minor changes, accepted to Communications in Algebra