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

Xue, Ting

doi:10.1090/S1088-4165-09-00357-4

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

Represent. Theory 13 (2009), 371-390

DOI: https://doi.org/10.1090/S1088-4165-09-00357-4

Published electronically: September 3, 2009

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Abstract:

Let $G$ be an adjoint algebraic group of type $B$, $C$, or $D$ over an algebraically closed field of characteristic 2. We construct a Springer correspondence for the Lie algebra of $G$. 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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Representation Theory

Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence
HTML articles powered by AMS MathViewer

Abstract: