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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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Elliptic Weyl group elements and unipotent isometries with $p=2$
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by George Lusztig and Ting Xue PDF
Represent. Theory 16 (2012), 270-275 Request permission

Abstract:

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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Additional 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: https://doi.org/10.1090/S1088-4165-2012-00415-0
  • MathSciNet review: 2915753