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Nilpotent orbits in the dual of classical Lie algebras in characteristic  and the Springer correspondence
Author(s):
Ting
Xue
Journal:
Represent. Theory
13
(2009),
609-635.
MSC (2010):
Primary 20G15
Posted:
November 4, 2009
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Abstract:
Let  be a simply connected algebraic group of type  ,  or  over an algebraically closed field of characteristic  . We construct a Springer correspondence for the dual vector space of the Lie algebra of  . In particular, we classify the nilpotent orbits in the duals of symplectic and orthogonal Lie algebras over algebraically closed or finite fields of characteristic  .
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20G15
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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:
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
Posted:
November 4, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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