Geodesic
Nilpotent orbits, normality and Hamiltonian group actions
Journal of the American Mathematical Society, Tome 07 (1994) no. 2, pp. 269-298 Cet article a éte moissonné depuis la source American Mathematical Society

Voir la notice de l'article

@article{10_1090_S0894_0347_1994_1239505_8,
     author = {Brylinski, Ranee and Kostant, Bertram},
     title = {Nilpotent orbits, normality and {Hamiltonian} group actions},
     journal = {Journal of the American Mathematical Society},
     pages = {269--298},
     year = {1994},
     volume = {07},
     number = {2},
     doi = {10.1090/S0894-0347-1994-1239505-8},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1994-1239505-8/}
}
TY  - JOUR
AU  - Brylinski, Ranee
AU  - Kostant, Bertram
TI  - Nilpotent orbits, normality and Hamiltonian group actions
JO  - Journal of the American Mathematical Society
PY  - 1994
SP  - 269
EP  - 298
VL  - 07
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1994-1239505-8/
DO  - 10.1090/S0894-0347-1994-1239505-8
ID  - 10_1090_S0894_0347_1994_1239505_8
ER  - 
%0 Journal Article
%A Brylinski, Ranee
%A Kostant, Bertram
%T Nilpotent orbits, normality and Hamiltonian group actions
%J Journal of the American Mathematical Society
%D 1994
%P 269-298
%V 07
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1994-1239505-8/
%R 10.1090/S0894-0347-1994-1239505-8
%F 10_1090_S0894_0347_1994_1239505_8
Brylinski, Ranee; Kostant, Bertram. Nilpotent orbits, normality and Hamiltonian group actions. Journal of the American Mathematical Society, Tome 07 (1994) no. 2, pp. 269-298. doi: 10.1090/S0894-0347-1994-1239505-8

[1] Brylinski, Ranee Kathryn Twisted ideals of the nullcone 1990 289 316

[2] Brylinski, Ranee, Kostant, Bertram The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups 1991 80 113

[3] Brylinski, Ranee, Kostant, Bertram Nilpotent orbits, normality and Hamiltonian group actions Bull. Amer. Math. Soc. (N.S.) 1992 269 275

[4] Carter, Roger W. Finite groups of Lie type 1985

[5] Demazure, M. Automorphismes et déformations des variétés de Borel Invent. Math. 1977 179 186

[6] Gel′Fand, S. I. The Weil representation of a Lie algebra of type 𝐺₂ and related representations of 𝑆𝐿₃ Funktsional. Anal. i Prilozhen. 1980 51 52

[7] Graham, William A. Functions on the universal cover of the principal nilpotent orbit Invent. Math. 1992 15 27

[8] Humphreys, James E. Introduction to Lie algebras and representation theory 1972

[9] Sato, M., Kimura, T. A classification of irreducible prehomogeneous vector spaces and their relative invariants Nagoya Math. J. 1977 1 155

[10] Kostant, Bertram The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group Amer. J. Math. 1959 973 1032

[11] Kostant, Bertram Lie group representations on polynomial rings Amer. J. Math. 1963 327 404

[12] Kostant, Bertram Quantization and unitary representations. I. Prequantization 1970 87 208

[13] Kostant, Bertram The vanishing of scalar curvature and the minimal representation of 𝑆𝑂(4,4) 1990 85 124

[14] Kraft, Hanspeter Closures of conjugacy classes in 𝐺₂ J. Algebra 1989 454 465

[15] Kraft, Hanspeter, Procesi, Claudio On the geometry of conjugacy classes in classical groups Comment. Math. Helv. 1982 539 602

[16] Levasseur, T., Smith, S. P. Primitive ideals and nilpotent orbits in type 𝐺₂ J. Algebra 1988 81 105

[17] Mcgovern, William M. Dixmier algebras and the orbit method 1990 397 416

[18] Mumford, David The red book of varieties and schemes 1988

[19] Souriau, J.-M. Structure des systèmes dynamiques 1970

[20] Souriau, Jean-Marie Sur la variété de Képler 1974 343 360

[21] Springer, T. A., Steinberg, R. Conjugacy classes 1970 167 266

[22] Tits, J. Espaces homogènes complexes compacts Comment. Math. Helv. 1962/63 111 120

[23] Vogan, David A., Jr. The orbit method and primitive ideals for semisimple Lie algebras 1986 281 316

[24] Vogan, David A., Jr. Noncommutative algebras and unitary representations 1988 35 60

[25] Zahid, Aboubeker Les endomorphismes 𝔨-finis des modules de Whittaker Bull. Soc. Math. France 1989 451 477

Cité par Sources :