Hopf-Galois Systems

Details Hopf-Galois Systems Hopf-Galois Systems

2002-04-30

arxiv.org/abs/math/0204348v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

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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