Izvestiya. Mathematics, Tome 11 (1977) no. 4, pp. 783-805
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F. M. Malyshev. Complex homogeneous spaces of semisimple Lie groups of type $D_n$. Izvestiya. Mathematics, Tome 11 (1977) no. 4, pp. 783-805. http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a4/
@article{IM2_1977_11_4_a4,
author = {F. M. Malyshev},
title = {Complex homogeneous spaces of semisimple {Lie} groups of type $D_n$},
journal = {Izvestiya. Mathematics},
pages = {783--805},
year = {1977},
volume = {11},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a4/}
}
TY - JOUR
AU - F. M. Malyshev
TI - Complex homogeneous spaces of semisimple Lie groups of type $D_n$
JO - Izvestiya. Mathematics
PY - 1977
SP - 783
EP - 805
VL - 11
IS - 4
UR - http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a4/
LA - en
ID - IM2_1977_11_4_a4
ER -
%0 Journal Article
%A F. M. Malyshev
%T Complex homogeneous spaces of semisimple Lie groups of type $D_n$
%J Izvestiya. Mathematics
%D 1977
%P 783-805
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a4/
%G en
%F IM2_1977_11_4_a4
Let $G$ be a connected Lie group, the simple normal subgroups of which are of the first category or are isomorphic to $\operatorname{SO}(2k+1,2l+1)$. In this paper all connected closed subgroups $U$ in $G$ are enumerated for which there exists a complex structure on the manifold $M=G/U$ which is invariant with respect to $G$, and all such structures on $M$ are given. Bibliography: 5 titles.