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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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Constructible characters, leading coefficients and left cells for finite Coxeter groups with unequal parameters
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by Meinolf Geck PDF
Represent. Theory 6 (2002), 1-30 Request permission

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.
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Additional 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