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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Derived equivalences and equivariant Jordan decomposition
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by Lucas Ruhstorfer PDF
Represent. Theory 26 (2022), 542-584 Request permission


The Bonnafé–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.
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Additional Information
  • Lucas Ruhstorfer
  • Affiliation: Fachbereich Mathematik, TU Kaiserslautern, 67653 Kaiserslautern, Germany
  • MR Author ID: 1379611
  • Email:
  • Received by editor(s): October 9, 2020
  • Received by editor(s) in revised form: August 3, 2021, and September 20, 2021
  • Published electronically: April 27, 2022
  • Additional Notes: This material was supported by the NSF under Grant DMS-1440140 while the author was in residence at the MSRI, Berkeley CA. The research was conducted in the framework of the research training group GRK 2240: Algebro-geometric Methods in Algebra, Arithmetic and Topology, which was funded by the DFG
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 542-584
  • MSC (2020): Primary 20C33, 20C20
  • DOI:
  • MathSciNet review: 4413349