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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.

 

The Weil-Steinberg character of finite classical groups
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by G. Hiss and A. Zalesski; \\ with an appendix by Olivier Brunat
Represent. Theory 13 (2009), 427-459
DOI: https://doi.org/10.1090/S1088-4165-09-00351-3
Published electronically: September 24, 2009

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

Abstract:

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 $H$.
References
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Bibliographic Information
  • G. Hiss
  • Affiliation: Lehrstuhl D fĂŒr Mathematik, RWTH Aachen University, 52056 Aachen, Germany
  • MR Author ID: 86475
  • Email: gerhard.hiss@math.rwth-aachen.de
  • A. Zalesski
  • Affiliation: School of Mathematics, University of East Anglia, Norwich, NR47TJ, United Kingdom
  • MR Author ID: 196858
  • Email: alexandre.zalesski@gmail.com
  • Olivier Brunat
  • Affiliation: FakultĂ€t fĂŒr Mathematik, Ruhr-UniversitĂ€t Bochum, UniversitĂ€tsstrasse 150, 44780 Bochum
  • Email: olivier.brunat@ruhr-uni-bochum.de
  • 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: https://doi.org/10.1090/S1088-4165-09-00351-3
  • MathSciNet review: 2550472