A Morita context and Galois extensions for Quasi-Hopf algebras

Details A Morita context and Galois extensions for Quasi-Hopf algebras A Morita context and Galois extensions for Quasi-Hopf algebras

2007-05-24

arxiv.org/abs/0705.3515v2

Mathematics

Quantum Algebra

20 pages, minor changes, accepted to Communications in Algebra

Scientific paper

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.

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