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Representation Theory
Representation Theory
ISSN 1088-4165

 

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


Author: Ting Xue
Journal: Represent. Theory 13 (2009), 609-635
MSC (2010): Primary 20G15
Published electronically: November 4, 2009
MathSciNet review: 2558787
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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$.


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Additional Information

Ting Xue
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: txue@math.mit.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-09-00364-1
PII: S 1088-4165(09)00364-1
Received by editor(s): February 21, 2009
Received by editor(s) in revised form: September 1, 2009
Published electronically: November 4, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.