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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.


Frobenius–Schur indicators of unipotent characters and the twisted involution module
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by Meinolf Geck and Gunter Malle
Represent. Theory 17 (2013), 180-198
Published electronically: April 1, 2013


Let $W$ be a finite Weyl group and $\sigma$ a non-trivial graph automorphism of $W$. We show a remarkable relation between the $\sigma$-twisted involution module for $W$ and the Frobenius–Schur indicators of the unipotent characters of a corresponding twisted finite group of Lie type. This extends earlier results of Lusztig and Vogan for the untwisted case and then allows us to state a general result valid for any finite group of Lie type. Inspired by recent work of Marberg, we also formally define Frobenius–Schur indicators for “unipotent characters” of twisted dihedral groups.
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Bibliographic Information
  • Meinolf Geck
  • Affiliation: Institute of Mathematics, Aberdeen University, Aberdeen AB24 3UE, Scotland, UK.
  • Address at time of publication: IAZ – Lehrstuhl für Algebra, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
  • MR Author ID: 272405
  • Email:
  • Gunter Malle
  • Affiliation: FB Mathematik, TU Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany.
  • MR Author ID: 225462
  • Email:
  • Received by editor(s): April 22, 2012
  • Received by editor(s) in revised form: October 10, 2012
  • Published electronically: April 1, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 180-198
  • MSC (2010): Primary 20C15; Secondary 20C33
  • DOI:
  • MathSciNet review: 3037782