Geodesic
Complete complex structures on homogeneous spaces of semisimple Lie groups
Izvestiya. Mathematics , Tome 15 (1980) no. 3, pp. 501-522.

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In this paper all $G$-invariant complex structures on homogeneous spaces $G/U$ of semisimple Lie groups $G$ are found. Bibliography: 18 titles. 
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F. M. Malyshev. Complete complex structures on homogeneous spaces of semisimple Lie groups. Izvestiya. Mathematics , Tome 15 (1980) no. 3, pp. 501-522. http://geodesic.mathdoc.fr/item/IM2_1980_15_3_a3/

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