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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence
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Represent. Theory 13 (2009), 371-390 Request permission


Let $G$ be an adjoint algebraic group of type $B$, $C$, or $D$ over an algebraically closed field of characteristic 2. We construct a Springer correspondence for the Lie algebra of $G$. In particular, for orthogonal Lie algebras in characteristic 2, the structure of component groups of nilpotent centralizers is determined and the number of nilpotent orbits over finite fields is obtained.
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Additional Information
  • Ting Xue
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Email:
  • Received by editor(s): December 31, 2008
  • Received by editor(s) in revised form: June 27, 2009
  • Published electronically: September 3, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 371-390
  • MSC (2000): Primary 14L35; Secondary 17B10
  • DOI:
  • MathSciNet review: 2540701