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Hopf-Galois Systems

Julien Bichon
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Abstract

We introduce the concept of Hopf-Galois system, a reformulation of the notion of Galois extension of the base field for a Hopf algebra. The main feature of our definition is a generalization of the antipode of an ordinary Hopf algebra. The main application of Hopf-Galois systems is the construction of monoidal equivalences between comodule categories over Hopf algebras.

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Julien Bichon. 2002-04-30. Hopf-Galois Systems. https://arxiv.org/abs/math/0204348

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