Geodesic
On the indecomposability of Borel manifolds
Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 436-440 Cet article a éte moissonné depuis la source Math-Net.Ru

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Here we prove the indecomposability of the homogeneous space $G/T$ of a simple compact connected Lie group $G$ modulo a maximal torus $T$ (the author calls such manifolds Borel manifolds). From this and from the results of A. L. Onishchik we get a description of all the connected Lie groups which act transitively on Borel manifolds. This description is given in the paper. Bibliography: 5 titles. 
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     author = {M. Ya. Blinkin},
     title = {On the indecomposability of {Borel} manifolds},
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M. Ya. Blinkin. On the indecomposability of Borel manifolds. Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 436-440. http://geodesic.mathdoc.fr/item/SM_1972_17_3_a5/

[1] A. Borel, “O kogomologiyakh glavnykh rassloennykh prostranstv”, Rassloennye prostranstva, IL, Moskva, 1958, 163–244

[2] A. L. Onischik, “O tranzitivnykh kompaktnykh gruppakh preobrazovanii”, Matem. sb., 60(102) (1963), 447–485 | Zbl

[3] A. L. Onischik, “O gruppakh Li, tranzitivnykh na kompaktnykh mnogoobraziyakh. III”, Matem. sb., 75(117) (1968), 255–263 | Zbl

[4] E. B. Vinberg, A. L. Onischik, Seminar po algebraicheskim gruppam i gruppam Li, MGU, Moskva, 1969

[5] R. Steinberg, “Invariants of finite reflection groups”, Canad. J. Math., 12:4 (1960), 616–618 | MR | Zbl