Nilpotent orbits in classical Lie algebras over F2n and the Springer correspondence

Ting Xue

doi:10.1073/pnas.0709626104

Nilpotent orbits in classical Lie algebras over F2n and the Springer correspondence

Proc Natl Acad Sci U S A. 2008 Jan 29;105(4):1126-8. doi: 10.1073/pnas.0709626104. Epub 2008 Jan 17.

Author

Ting Xue¹

Affiliation

¹ Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. txue@math.mit.edu

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.