Galois theory for weak Hopf algebras

Details Galois theory for weak Hopf algebras Galois theory for weak Hopf algebras

2004-06-09

arxiv.org/abs/math/0406186v1

Mathematics

Rings and Algebras

24 pages

Scientific paper

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.

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