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ISSN 1088-4165

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
MathSciNet review: 2540701
Retrieve article in: PDF

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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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