Nilpotent orbits in classical Lie algebras over F2n and the Springer correspondence.
basic_science · Level V
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- Record sourced from PubMed, PMID 18202179.
- Also identified by DOI 10.1073/pnas.0709626104 and PMC identifier 2234102.
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Abstract
We give the number of nilpotent orbits in the Lie algebras of orthogonal groups under the adjoint action of the groups over F(2(n)). 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.