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- Title
Nilpotent orbits in the dual of classical Lie algebras in characteristic $2$ and the Springer correspondence.
- Abstract
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 $2$.
- Subjects
NILPOTENT groups; ORBIT method; DIFFERENTIAL algebraic groups; ORTHOGONALIZATION; VECTOR spaces; DUALITY theory (Mathematics)
- Publication
Representation Theory, 2009, Vol 13, Issue 23, p609
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/S1088-4165-09-00364-1