Graded tame blocks of group algebras
Representation Theory
2010-04-21 v2 Rings and Algebras
Abstract
In this paper we investigate gradings on tame blocks of group algebras whose defect group is dihedral. We classify gradings on an arbitrary dihedral block up to graded Morita equivalence. We do this by computing the group of outer automorphisms that fix the isomorphism classes of simple modules. We also show how to grade these blocks via transfer of gradings via dervied equivalences.
Keywords
Cite
@article{arxiv.1001.1643,
title = {Graded tame blocks of group algebras},
author = {Dusko Bogdanic},
journal= {arXiv preprint arXiv:1001.1643},
year = {2010}
}
Comments
27 pages