Hopf-Galois Systems
Quantum Algebra
2007-05-23 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0204348,
title = {Hopf-Galois Systems},
author = {Julien Bichon},
journal= {arXiv preprint arXiv:math/0204348},
year = {2007}
}
Comments
15 pages