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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.


Cohomology of Deligne-Lusztig varieties for unipotent blocks of $\mathrm {GL}_n(q)$
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by Olivier Dudas
Represent. Theory 17 (2013), 647-662
Published electronically: December 10, 2013


We study the cohomology of parabolic Deligne-Lusztig varieties associated to unipotent blocks of $\mathrm {GL}_n(q)$. We show that the geometric version of Broué’s conjecture over $\overline {\mathbb {Q}}_\ell$, together with Craven’s formula, holds for any unipotent block whenever it holds for the principal $\Phi _1$-block.
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Bibliographic Information
  • Olivier Dudas
  • Affiliation: Université Denis Diderot - Paris 7, UFR de Mathématiques, Institut de Mathématiques de Jussieu, Case 7012, 75205 Paris Cedex 13, France
  • MR Author ID: 883805
  • Email:
  • Received by editor(s): January 16, 2013
  • Received by editor(s) in revised form: July 10, 2013
  • Published electronically: December 10, 2013
  • Additional Notes: The author was supported by the EPSRC, Project No EP/H026568/1 and by Magdalen College, Oxford.
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 647-662
  • MSC (2010): Primary 20C33
  • DOI:
  • MathSciNet review: 3139556