Galois theory for weak Hopf algebras
Rings and Algebras
2007-05-23 v1
Abstract
We develop Hopf-Galois theory for weak Hopf algebras, and recover analogs of classical results for Hopf algebras. Our methods are based on the recently introduced Galois theory for corings. We focus on the situatation where the weak Hopf algebra is a groupoid algebra or its dual. We obtain weak versions of strongly graded rings, and classical Galois extensions.
Keywords
Cite
@article{arxiv.math/0406186,
title = {Galois theory for weak Hopf algebras},
author = {S. Caenepeel and E. De Groot},
journal= {arXiv preprint arXiv:math/0406186},
year = {2007}
}
Comments
24 pages