Remarks on Springer's representations
Author:
G. Lusztig
Journal:
Represent. Theory 13 (2009), 391-400
MSC (2000):
Primary 20G99
DOI:
https://doi.org/10.1090/S1088-4165-09-00358-6
Published electronically:
September 3, 2009
MathSciNet review:
2540702
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Abstract | References | Similar Articles | Additional Information
Abstract: We give an explicit description of a set of irreducible representations of a Weyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group.
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Additional Information
G. Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
DOI:
https://doi.org/10.1090/S1088-4165-09-00358-6
Received by editor(s):
May 5, 2009
Published electronically:
September 3, 2009
Additional Notes:
Supported in part by the National Science Foundation
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.