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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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The Weil-Steinberg character of finite classical groups
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by G. Hiss and A. Zalesski; \\ with an appendix by Olivier Brunat PDF
Represent. Theory 13 (2009), 427-459 Request permission

Corrigendum: Represent. Theory 15 (2011), 729-732.


Let $G$ be one of the groups $\operatorname {GL}(n,q)$ or $U(n,q)$, and let $H$ denote the subgroup $\operatorname {GL}({n-1},q)$ or $U(n-1,q)$, respectively. We show that the restriction of the Steinberg character of $G$ to $H$ equals the product of the Weil character and the Steinberg character of $H$.
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Additional Information
  • G. Hiss
  • Affiliation: Lehrstuhl D fĂŒr Mathematik, RWTH Aachen University, 52056 Aachen, Germany
  • MR Author ID: 86475
  • Email:
  • A. Zalesski
  • Affiliation: School of Mathematics, University of East Anglia, Norwich, NR47TJ, United Kingdom
  • MR Author ID: 196858
  • Email:
  • Olivier Brunat
  • Affiliation: FakultĂ€t fĂŒr Mathematik, Ruhr-UniversitĂ€t Bochum, UniversitĂ€tsstrasse 150, 44780 Bochum
  • Email:
  • Received by editor(s): September 26, 2007
  • Received by editor(s) in revised form: June 14, 2008
  • Published electronically: September 24, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 427-459
  • MSC (2000): Primary 20G40, 20C33
  • DOI:
  • MathSciNet review: 2550472