2002/04/30 by Julien Bichon, Bichon, Julien
Mathematics · #16W30 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30 #msc:18D10
paper · pdf · doi:10.48550/arxiv.math/0204348
15 pages
arxiv created 2002/04/30 · arxiv updated 2009/11/30
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.