An action-free characterization of weak Hopf-Galois extensions
Quantum Algebra
2007-05-23 v2 Rings and Algebras
Abstract
We define comodule algebras and Galois extensions for actions of bialgebroids. Using just module conditions we characterize the Frobenius extensions that are Galois as depth two and right balanced extensions. As a corollary, we obtain characterizations of certain weak and ordinary Hopf-Galois extensions without reference to action in the hypothesis.
Keywords
Cite
@article{arxiv.math/0409589,
title = {An action-free characterization of weak Hopf-Galois extensions},
author = {Lars Kadison},
journal= {arXiv preprint arXiv:math/0409589},
year = {2007}
}
Comments
5 pages, clarification of main theorem with thanks to the referee of Algebra Montpellier Announcements