Representation Theory

Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence

Author(s): Ting Xue
Journal: Represent. Theory 13 (2009), 371-390.
MSC (2000): Primary 14L35; Secondary 17B10
Posted: September 3, 2009
Retrieve article in: PDF

Abstract: Let

be an adjoint algebraic group of type

, or

over an algebraically closed field of characteristic 2. We construct a Springer correspondence for the Lie algebra of

. In particular, for orthogonal Lie algebras in characteristic 2, the structure of component groups of nilpotent centralizers is determined and the number of nilpotent orbits over finite fields is obtained.

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Ting Xue
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: txue@math.mit.edu

DOI: 10.1090/S1088-4165-09-00357-4
PII: S 1088-4165(09)00357-4
Received by editor(s): December 31, 2008
Received by editor(s) in revised form: June 27, 2009
Posted: September 3, 2009
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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