From conjugacy classes in the weyl group to unipotent classes, III
Name
Lusztig_From conjugacy.pdf
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456.92 KB
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35d0dd8a062b0e795a708da30de7c5c8
Author(s)
Lusztig, George
Date Issued
September 2012
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. “From Conjugacy Classes in the Weyl Group to Unipotent Classes, III.” Representation Theory 16 (2012): 450–488. © 2012 American Mathematical Society
Version
Final published version
Abstract
Let G be an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G[superscript 0]-conjugacy classes in D generalizing an earlier construction which applied when G is connected.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://www.ams.org/journals/ert/2012-16-12/S1088-4165-2012-00422-8/S1088-4165-2012-00422-8.pdf
