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Remarks on Springer's representations
Author(s):
G.
Lusztig
Journal:
Represent. Theory
13
(2009),
391-400.
MSC (2000):
Primary 20G99
Posted:
September 3, 2009
MathSciNet review:
2540702
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Abstract |
References |
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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.
References:
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- T. Xue, Nilpotent orbits in classical Lie algebras over finite fields of characteristic
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Additional Information:
G.
Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
DOI:
10.1090/S1088-4165-09-00358-6
PII:
S 1088-4165(09)00358-6
Received by editor(s):
May 5, 2009
Posted:
September 3, 2009
Additional Notes:
Supported in part by the National Science Foundation
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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