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Nilpotent orbits, normality, and Hamiltonian group actions
Author(s):
Ranee
Brylinski;
Bertram
Kostant
Journal:
Bull. Amer. Math. Soc.
26
(1992),
269-275.
MSC (1991):
Primary 22E46;
Secondary 58F05, 58F06, 32M05, 14L30
MathSciNet review:
1119160
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Additional information
References:
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- M. Demazure, Automorphismes et d\'eformations des vari\'et\'es de Borel, Invent. Math. \textbf{39} (1977), 179--186. MR 435092
- [2]
- B. Kostant, \emph{The vanishing of scalar curvature and the minimal representation of $SO(4,4)$}, Birkh\"auser, Boston, MA, 1990 pp.~85--124. MR 1103588
- [3]
- H. Kraft and C. Procesi, On the geometry of conjugacy classes in classical groups, Comment. Math. Helv. \textbf{57} (1982), 539--602. MR 694606
- [4]
- T. Levasseur and S. P. Smith, Primitive ideals and nilpotent orbits in type $G_2$, J. Algebra \textbf{114} (1988), 81--105. MR 931902
- [5]
- W. M. McGovern, \emph{Dixmier algebras and the orbit method}, Birkh\"auser, Boston, MA, 1990 pp.~397--416. MR 1103597
- [6]
- D. A. Vogan, \emph{The orbit method and primitive ideals for semisimple Lie algebras} vol.~5, Amer. Math. Soc., Providence, RI, 1986 pp.~281--316. MR 832204
- [7]
- D. A. Vogan, \emph{Noncommutative algebras and unitary representations} vol.~48, Amer. Math. Soc., Providence, RI, 1988 \nofrills pp.~35--60. MR 974331
- [8]
- A. Zahid, Les endomorphismes $\germ k$-finis des modules de Whittaker, Bull. Soc. Math. France \textbf{117} (1989), 451--477. MR 1042433
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00271-9
PII:
S 0273-0979(1992)00271-9
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