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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Derived equivalences and equivariant Jordan decomposition
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by Lucas Ruhstorfer
Represent. Theory 26 (2022), 542-584
Published electronically: April 27, 2022


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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Bibliographic 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