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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.


On the character of certain irreducible modular representations
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by G. Lusztig
Represent. Theory 19 (2015), 3-8
Published electronically: March 2, 2015


Let $G$ be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic $p>0$. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of $G$ so that it is now directly applicable to any dominant highest weight.
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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): October 7, 2014
  • Received by editor(s) in revised form: February 2, 2015
  • Published electronically: March 2, 2015
  • Additional Notes: This work was supported in part by National Science Foundation grant DMS-1303060 and by a Simons Fellowship.
  • © Copyright 2015 American Mathematical Society
  • Journal: Represent. Theory 19 (2015), 3-8
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 3316914