Blocks of group algebras are derived simple
Representation Theory
2011-04-05 v1 Group Theory
Abstract
A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This result is independent of the characteristic of the base field.
Cite
@article{arxiv.1104.0500,
title = {Blocks of group algebras are derived simple},
author = {Qunhua Liu and Dong Yang},
journal= {arXiv preprint arXiv:1104.0500},
year = {2011}
}
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8 pages