Galois extensions for coquasi-Hopf algebras

Details Galois extensions for coquasi-Hopf algebras Galois extensions for coquasi-Hopf algebras

2008-04-18

arxiv.org/abs/0804.3046v1

Mathematics

Quantum Algebra

28 pages

Scientific paper

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.

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