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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.


Lusztig’s conjecture for finite special linear groups
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by Toshiaki Shoji
Represent. Theory 10 (2006), 164-222
Published electronically: March 22, 2006


In this paper, we prove Lusztig’s conjecture for $G^F = SL_n(\mathbf F_q)$, i.e., we show that characteristic functions of character sheaves of $G^F$ coincide with almost characters of $G^F$ up to scalar constants, assuming that the characteristic of $\mathbf F_q$ is not too small. We determine these scalars explicitly. Our result gives a method of computing irreducible characters of $G^F$.
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Bibliographic Information
  • Toshiaki Shoji
  • Affiliation: Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
  • Received by editor(s): February 16, 2005
  • Received by editor(s) in revised form: January 24, 2006
  • Published electronically: March 22, 2006

  • Dedicated: To Noriaki Kawanaka on his sixtieth birthday
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 164-222
  • MSC (2000): Primary 20G40, 20G05
  • DOI:
  • MathSciNet review: 2219112