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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.

 

Constructible characters, leading coefficients and left cells for finite Coxeter groups with unequal parameters
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by Meinolf Geck
Represent. Theory 6 (2002), 1-30
DOI: https://doi.org/10.1090/S1088-4165-02-00128-0
Published electronically: March 27, 2002

Abstract:

Following Lusztig, we investigate constructible characters, leading coefficients and left cells for a finite Coxeter group $W$ in the case of unequal parameters. We obtain explicit results for $W$ of type $F_4$, $B_n$ and $I_2(m)$ ($m$ even) which support Lusztig’s conjecture that known results about left cells in the equal parameter case should remain valid in the case of unequal parameters.
References
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Bibliographic Information
  • Meinolf Geck
  • Affiliation: Institut Girard Desargues, bat. Jean Braconnier, Université Lyon 1, 21 av Claude Bernard, F–69622 Villeurbanne Cedex, France
  • MR Author ID: 272405
  • Email: geck@desargues.univ-lyon1.fr
  • Received by editor(s): June 8, 2001
  • Received by editor(s) in revised form: November 7, 2001
  • Published electronically: March 27, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Represent. Theory 6 (2002), 1-30
  • MSC (2000): Primary 20C08; Secondary 20C15
  • DOI: https://doi.org/10.1090/S1088-4165-02-00128-0
  • MathSciNet review: 1915085