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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.


Elliptic Weyl group elements and unipotent isometries with $p=2$
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by George Lusztig and Ting Xue
Represent. Theory 16 (2012), 270-275
Published electronically: May 7, 2012


Let $G$ be a classical group over an algebraically closed field of characteristic $2$ and let $C$ be an elliptic conjugacy class in the Weyl group. In a previous paper the first named author associated to $C$ a unipotent conjugacy class $\Phi (C)$ of $G$. In this paper we show that $\Phi (C)$ can be characterized in terms of the closure relations between unipotent classes. Previously, the analogous result was known in odd characteristic and for exceptional groups in any characteristic.
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Bibliographic Information
  • George Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Ting Xue
  • Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
  • Received by editor(s): April 4, 2011
  • Received by editor(s) in revised form: November 3, 2011
  • Published electronically: May 7, 2012
  • Additional Notes: The first author was supported in part by the National Science Foundation
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 270-275
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 2915753