Geodesic
The stable rationality of quotient spaces for simply connected groups
Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 1-14

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Stable rationality of quotient varieties $V/G$ is proved for representations $V$ of simply connected groups $G$ that have a trivial stabilizer of a generic point. Bibliography: 7 titles. 
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     title = {The stable rationality of quotient spaces for simply connected groups},
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F. A. Bogomolov. The stable rationality of quotient spaces for simply connected groups. Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/SM_1987_58_1_a0/