Nilpotent orbits in classical Lie algebras over $\textbf{F}_{2^n}$ and the Springer correspondence

Details Nilpotent orbits in classical Lie algebras over $\textbf{F}_{2^n}$ and the Springer correspondence Nilpotent orbits in classical Lie algebras over $\textbf{F}_{2^n}$ and the Springer correspondence

2007-09-28

arxiv.org/abs/0709.4515v1

Mathematics

Representation Theory

Scientific paper

We give the number of nilpotent orbits in the Lie algebras of orthogonal
groups under the adjoint action of the groups over $\tF_{2^n}$. 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 $G$.

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