Elliptic Weyl Group Elements and Unipotent Isometries with P = 2
Name
Lusztig_Elliptical weyl.pdf
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140.36 KB
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Author(s)
Lusztig, George
Xue, Ting
Date Issued
May 2012
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, George and Xue, Ting. “Elliptic Weyl Group Elements and Unipotent Isometries with P = 2.” Representation Theory 16 (2012): 270–275. © 2012 American Mathematical Society
Version
Final published version
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 Φ(C) of G. In this paper we show that Φ(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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://www.ams.org/journals/ert/2012-16-08/S1088-4165-2012-00415-0/S1088-4165-2012-00415-0.pdf
