Geodesic
The stable rationality of quotient spaces for simply connected groups
Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 1-14 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Bogomolov F. A., Katsylo P. I., “Ratsionalnost nekotorykh faktor-mnogoobrazii”, Matem. sb., 126(168) (1985), 584–589 | MR | Zbl

[2] Vinberg E. B., “Ratsionalnost polya invariantov treugolnoi gruppy”, Vestn. MGU, 1982, no. 2, 23–24 | MR | Zbl

[3] Katsylo P. I., “Ratsionalnost prostranstv modulei giperellipticheskikh krivykh”, Izv. AN SSSR. Ser. matem., 48:4 (1984), 705–710 | MR | Zbl

[4] Postnikov M. M., Gruppy i algebry Li, Nauka, M., 1982 | MR

[5] Saltman D., “Noether's problems over an algebraically closed field”, Inv. Math., 77:1 (1984), 71–85 | DOI | MR

[6] Steinberg R., “The simplicity of certain groups”, Pac. J. of Math., 10 (1960), 1039–1041 | MR | Zbl

[7] Elashvili A. G., “Kanonicheskii vid i statsionarnye podalgebry obschego polozheniya”, Funktsion. analiz i ego pril., 6:1 (1972), 51–62 | Zbl