Geodesic
Complex homogeneous spaces of the Lie group $SO(2k+1,2l+1)$
Izvestiya. Mathematics, Tome 10 (1976) no. 4, pp. 763-782 
F. M. Malyshev. Complex homogeneous spaces of the Lie group $SO(2k+1,2l+1)$. Izvestiya. Mathematics, Tome 10 (1976) no. 4, pp. 763-782. http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a5/
@article{IM2_1976_10_4_a5,
     author = {F. M. Malyshev},
     title = {Complex homogeneous spaces of the {Lie} group $SO(2k+1,2l+1)$},
     journal = {Izvestiya. Mathematics},
     pages = {763--782},
     year = {1976},
     volume = {10},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a5/}
}
TY  - JOUR
AU  - F. M. Malyshev
TI  - Complex homogeneous spaces of the Lie group $SO(2k+1,2l+1)$
JO  - Izvestiya. Mathematics
PY  - 1976
SP  - 763
EP  - 782
VL  - 10
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a5/
LA  - en
ID  - IM2_1976_10_4_a5
ER  - 
%0 Journal Article
%A F. M. Malyshev
%T Complex homogeneous spaces of the Lie group $SO(2k+1,2l+1)$
%J Izvestiya. Mathematics
%D 1976
%P 763-782
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a5/
%G en
%F IM2_1976_10_4_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $G$ be a connected Lie group, with Lie algebra which is the real form of the second category of type $D_n$. This paper lists all the connected closed subgroups $U$ of $G$ such that there exists a complex structure on the manifold $M=G/U$ which is invariant under $G$, and it also describes all such structures on $M$. Bibliography: 7 titles.

[1] Yen Chih-ta, “Sur la classification des algebres de Lie simples feeles et les figures de Schlaffly associées”, Science Record, 3:7 (1953), 270–275

[2] Wolf J. A., “The action of a real semisimple groupen a complex flag manifold. I”, Bull. Amer. Math. Soc., 75:6 (1969), 1121–1237 | DOI | MR | Zbl

[3] Araki Sh., “Kornevye sistemy i lokalnaya klassifikatsiya neprivodimykh simmetricheskikh prostranstv”, Matematika, 10:1 (1966), 90–126 | MR

[4] Dynkin E. B., “Poluprostye podalgebry poluprostykh algebr Li”, Matem. sb., 30(72):2 (1952), 349–462 | MR | Zbl

[5] Onischik A. L., “Razlozheniya reduktivnykh grupp Li”, Matem. sb., 80:4 (1969), 553–599 | Zbl

[6] Karpelevich F. I., “O nepoluprostykh maksimalnykh podalgebrakh poluprostykh algebr Li”, Dokl. AN SSSR, 76:6 (1951), 775–778 | Zbl

[7] Malyshev F. M., “Kompleksnye odnorodnye prostranstva poluprostykh grupp Li pervoi kategorii”, Izv. AN SSSR. Ser. matem., 39 (1975), 992–1002 | Zbl