A Morita context and Galois extensions for Quasi-Hopf algebras

2007/05/24 by Balan, Adriana
#16W30 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0705.3515

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.

Related

• Morita equivalences induced by bimodules over Hopf-Galois extensions
• Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories
• Hopf algebra actions on strongly separable extensions of depth two
• Partial Hopf actions, partial invariants and a Morita context
• Galois theory for H-extensions