An action-free characterization of weak Hopf-Galois extensions

Details An action-free characterization of weak Hopf-Galois extensions An action-free characterization of weak Hopf-Galois extensions

2004-09-29

arxiv.org/abs/math/0409589v2

Mathematics

Quantum Algebra

5 pages, clarification of main theorem with thanks to the referee of Algebra Montpellier Announcements

Scientific paper

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.

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