Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules
Quantum Algebra
2008-05-23 v1
Abstract
Let H be a Hopf algebra with bijective antipode, let \alpha, \beta be two Hopf algebra automorphisms of H and M a finite dimensional (\alpha, \beta )-Yetter-Drinfeld module. We prove that End(M) endowed with certain structures becomes an H-Azumaya algebra, and the set of H-Azumaya algebras of this type is a subgroup of BQ(k, H), the Brauer group of H.
Keywords
Cite
@article{arxiv.0805.3437,
title = {Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules},
author = {Florin Panaite and Freddy Van Oystaeyen},
journal= {arXiv preprint arXiv:0805.3437},
year = {2008}
}
Comments
15 pages