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arXiv · 0808.2995

Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence

Ting Xue
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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.

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Ting Xue. 2008-08-21. Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence. https://arxiv.org/abs/0808.2995

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