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Nilpotent orbits in the dual of classical Lie algebras in characteristic 2 and the Springer correspondence. (English) Zbl 1250.17009
Summary: 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.

##### MSC:
 17B08 Coadjoint orbits; nilpotent varieties 20G05 Representation theory for linear algebraic groups
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##### References:
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