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arXiv:0808.2998 [math.RT]AbstractReferencesReviewsResources

Nilpotent orbits in the dual of classical Lie algebras in characteristic 2 and the Springer correspondence

Ting Xue

Published 2008-08-21, updated 2018-05-24Version 2

Let $G$ be a simply connected algebraic group of type $B,C$ or $D$ over an algebraically closed field of characteristic 2. We construct a Springer correspondence for the dual vector space of the Lie algebra of $G$. In particular, we classify the nilpotent orbits in the duals of symplectic and orthogonal Lie algebras over algebraically closed or finite fields of characteristic 2.

Comments: 26 pages. arXiv admin note: text overlap with arXiv:0808.2995
Journal: Represent. Theory 13 (2009), 609--635
Categories: math.RT
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