GALOIS THEORY FOR WEAK HOPF ALGEBRAS

By Stefaan Caenepeel, Erwin de Groot. 2004

69 citations recorded by the source corpus.

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 situation where the weak Hopf algebra is a groupoid algebra or its dual. We obtain weak versions of strongly graded rings, and classical Galois extensions. AMS 2000 Subject Classification: 16W30.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fa7d203b78af1cbd6a413de6faf3cb51c1c65558

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In Algebra and Number Theory

1. Mikhailo Dokuchaev
2. Antonio Paques
3. Dirceu Bagio

In Geometry and Topology

1. Dirceu Bagio
2. Antonio Paques
3. Mikhailo Dokuchaev

Citations in the corpus

• Recent developments around partial actions (2018, background): “The definition of a (global) groupoid action in [41] is equivalent, under some conditions, to that given in [70].”
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory (2011, background): “3 is just the definition of Galois extension for groupoid actions as considered in [9].”