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Representation Theory
Representation Theory
ISSN 1088-4165

 

Elliptic Weyl group elements and unipotent isometries with $ p=2$


Authors: George Lusztig and Ting Xue
Journal: Represent. Theory 16 (2012), 270-275
MSC (2010): Primary 20G99
Published electronically: May 7, 2012
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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

Ting Xue
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208

DOI: http://dx.doi.org/10.1090/S1088-4165-2012-00415-0
PII: S 1088-4165(2012)00415-0
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
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.