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Proceedings of the American Mathematical Society

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Dimension of a minimal nilpotent orbit

Author: Weiqiang Wang
Journal: Proc. Amer. Math. Soc. 127 (1999), 935-936
MSC (1991): Primary 22E10; Secondary 17B20
MathSciNet review: 1610801
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Abstract: We show that the dimension of the minimal nilpotent coadjoint orbit for a complex simple Lie algebra is equal to twice the dual Coxeter number minus two.

References [Enhancements On Off] (What's this?)

  • [CM] D.H. Collingwood and W.M. McGovern, Nilpotent orbits in semisimple Lie algebras, Van Nostrand Reinhold Math. Series, 1992. MR 94j:17001
  • [K] V.G. Kac, Infinite-dimensional Lie algebras, Third edition, Cambridge University Press, 1990. MR 92k:17038
  • [KW] V.G. Kac and W. Wang, Vertex operator superalgebras and their representations, Contemporary Mathematics, vol. 175, (1994) 161-191. MR 95k:17040
  • [W] W. Wang, Representations of vertex operator algebras and superalgebras, Massachusetts Institute of Technology Ph.D. thesis, 1995.

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Additional Information

Weiqiang Wang
Affiliation: Max-Planck Institut für Mathematik, 53225 Bonn, Germany
Address at time of publication: Department of Mathematics, Yale University, New Haven, Connecticut 06520

Received by editor(s): July 7, 1997
Communicated by: Roe Goodman
Article copyright: © Copyright 1999 American Mathematical Society