Geodesic
Quotient spaces modulo tori ad transitive actions of Lie groups. II
Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1561-1570 
A. N. Shchetinin. Quotient spaces modulo tori ad transitive actions of Lie groups. II. Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1561-1570. http://geodesic.mathdoc.fr/item/SM_1997_188_10_a6/
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     title = {Quotient spaces modulo tori ad transitive actions of {Lie} {groups.~II}},
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     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_10_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $K$ be a simple compact connected Lie group of rank greater than $8$ and let $A$ be a torus of this group in general position and of corank $1$: it is proved that the canonical transitive action of $K/A$ is essentially unique.

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