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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.


Conjugacy classes of involutions and Kazhdan–Lusztig cells
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by Cédric Bonnafé and Meinolf Geck
Represent. Theory 18 (2014), 155-182
Published electronically: July 22, 2014


According to an old result of Schützenberger, the involutions in a given two-sided cell of the symmetric group $\mathfrak {S}_n$ are all conjugate. In this paper, we study possible generalizations of this property to other types of Coxeter groups. We show that Schützenberger’s result is a special case of a general result on “smooth” two-sided cells. Furthermore, we consider Kottwitz’s conjecture concerning the intersections of conjugacy classes of involutions with the left cells in a finite Coxeter group. Our methods lead to a proof of this conjecture for classical types which, combined with further recent work, settles this conjecture in general.
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Bibliographic Information
  • Cédric Bonnafé
  • Affiliation: Institut de Mathématiques et de Modélisation de Montpellier (CNRS: UMR 5149), Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex, France
  • Email:
  • Meinolf Geck
  • Affiliation: IAZ - Lehrstuhl für Algebra, Universität Stuttgart, Pfaffenwaldring 57, D–70569 Stuttgart, Germany
  • MR Author ID: 272405
  • Email:
  • Received by editor(s): January 28, 2013
  • Received by editor(s) in revised form: July 1, 2014
  • Published electronically: July 22, 2014
  • © Copyright 2014 American Mathematical Society
  • Journal: Represent. Theory 18 (2014), 155-182
  • MSC (2000): Primary 20C08; Secondary 20F55
  • DOI:
  • MathSciNet review: 3233059