Nilpotent orbits in classical Lie algebras over F2n and the Springer correspondence
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Communicated by George Lusztig, Massachusetts Institute of Technology, Cambridge, MA, October 9, 2007 (received for review September 27, 2007)
Abstract
We give the number of nilpotent orbits in the Lie algebras of orthogonal groups under the adjoint action of the groups over F2n. Let G be an adjoint algebraic group of type B, C, or D defined over an algebraically closed field of characteristic 2. We construct the Springer correspondence for the nilpotent variety in the Lie algebra of G.
Footnotes
- *E-mail: txue{at}math.mit.edu
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Author contributions: T.X. performed research and wrote the paper.
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The author declares no conflict of interest.
- © 2008 by The National Academy of Sciences of the USA
