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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.


Unipotent representations as a categorical centre
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by G. Lusztig
Represent. Theory 19 (2015), 211-235
Published electronically: October 28, 2015


Let $G(F_q)$ be the group of rational points of a split connected reductive group $G$ over the finite field $F_q$. In this paper we show that the category of representations of $G(F_q)$ which are finite direct sums of unipotent representations in a fixed two-sided cell is equivalent to the centre of a certain monoidal category of sheaves on the flag manifold of $G\times G$. We also consider a version of this for nonsplit groups.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): December 5, 2014
  • Received by editor(s) in revised form: August 26, 2015
  • Published electronically: October 28, 2015
  • Additional Notes: Supported in part by National Science Foundation grant 1303060.
  • © Copyright 2015 American Mathematical Society
  • Journal: Represent. Theory 19 (2015), 211-235
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 3416310