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- Title
Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence.
- 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.
- Subjects
NILPOTENT Lie groups; ORBIT method; LIE algebras; FINITE fields; MATRICES (Mathematics); REPRESENTATIONS of groups (Algebra)
- Publication
Representation Theory, 2009, Vol 13, Issue 17, p371
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/S1088-4165-09-00357-4