Derived equivalences and equivariant Jordan decomposition
Representation Theory
2020-10-12 v1 Group Theory
Abstract
The Bonnaf\'e-Rouquier equivalence can be seen as a modular analogue of Lusztig's Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lifted to include automorphisms of the finite group of Lie type. Moreover, we prove the existence of a local version of this equivalence which satisfies similar properties.
Keywords
Cite
@article{arxiv.2010.04468,
title = {Derived equivalences and equivariant Jordan decomposition},
author = {Lucas Ruhstorfer},
journal= {arXiv preprint arXiv:2010.04468},
year = {2020}
}