Galois extensions for coquasi-Hopf algebras
Quantum Algebra
2008-04-21 v1
Abstract
The notions of Galois and cleft extensions are generalized for coquasi-Hopf algebras. It is shown that such an extension over a coquasi-Hopf algebra is cleft if and only if it is Galois and has the normal basis property. A Schneider type theorem is proven for coquasi-Hopf algebras with bijective antipode. As an application, we generalize Schauenburg's bialgebroid construction for coquasi-Hopf algebras.
Keywords
Cite
@article{arxiv.0804.3046,
title = {Galois extensions for coquasi-Hopf algebras},
author = {Adriana Balan},
journal= {arXiv preprint arXiv:0804.3046},
year = {2008}
}
Comments
28 pages