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Dimension of a minimal nilpotent orbit
Author(s):
Weiqiang
Wang
Journal:
Proc. Amer. Math. Soc.
127
(1999),
935-936.
MSC (1991):
Primary 22E10;
Secondary 17B20
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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:
- [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
Email:
wqwang@math.yale.edu
DOI:
10.1090/S0002-9939-99-04946-1
PII:
S 0002-9939(99)04946-1
Received by editor(s):
July 7, 1997
Additional Notes:
The author was partially supported by NSF Grant DMS-9304580
Communicated by:
Roe Goodman
Copyright of article:
Copyright
1999,
American Mathematical Society
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