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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.


Height 0 characters of finite groups of Lie type
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by Gunter Malle
Represent. Theory 11 (2007), 192-220
Published electronically: December 5, 2007


We give a classification of irreducible characters of finite groups of Lie type of $p’$-degree, where $p$ is any prime different from the defining characteristic, in terms of local data. More precisely, we give a classification in terms of data related to the normalizer of a suitable Levi subgroup, which in many cases coincides with the normalizer of a Sylow $p$-subgroup. The McKay conjecture asserts that there exists a bijection between characters of $p’$-degree of a group and of the normalizer of a Sylow $p$-subgroup. We hope that our result will constitute a major step towards a proof of this conjecture for groups of Lie type, and, in conjunction with a recent reduction result of Isaacs, Malle and Navarro, for arbitrary finite groups.
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Bibliographic Information
  • Gunter Malle
  • Affiliation: FB Mathematik, Universität Kaiserslautern, Postfach 3049, D 67653 Kaiserslautern, Germany
  • MR Author ID: 225462
  • Email:
  • Received by editor(s): April 7, 2006
  • Received by editor(s) in revised form: September 16, 2007
  • Published electronically: December 5, 2007

  • Dedicated: Dedicated to Professor Toshiaki Shoji on the occasion of his 60th birthday
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 11 (2007), 192-220
  • MSC (2000): Primary 20C33, 20G40
  • DOI:
  • MathSciNet review: 2365640