Geodesic
On orbit spaces of finite and connected linear groups
Izvestiya. Mathematics, Tome 20 (1983) no. 1, pp. 97-101 
D. I. Panyushev. On orbit spaces of finite and connected linear groups. Izvestiya. Mathematics, Tome 20 (1983) no. 1, pp. 97-101. http://geodesic.mathdoc.fr/item/IM2_1983_20_1_a5/
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     title = {On orbit spaces of finite and connected linear groups},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Using geometric properties of the orbit space, the author gives a characterization of finite linear groups generated by reflections. Sufficient conditions that the module of covariants for a connected reductive group be free are indicated. Bibliography: 7 titles.

[1] Luna D., “Slices etales”, Sur les groupes algébriques, Mémoire 33, Soc. Math. France, Paris, 1973, 81–105 | MR | Zbl

[2] Luna D., Richardson R., “A generalization of the Chevalley restriction theorem”, Duke math. J., 46:3 (1980), 487–496 | DOI | MR

[3] Schwarz G., “Lifting smooth homotopies of orbit Spaces”, Publ. math. IHES, 1980, no. 51, 37–136 | MR

[4] Vinberg E. B., “Gruppa Veilya graduirovannoi algebry Li”, Izv. AN SSSR. Ser. matem., 40:3 (1976), 488–526 | MR | Zbl

[5] Mamford D., Abelevy mnogoobraziya, Mir, M., 1971

[6] Mumford D., Geometric invariant theory, Springer, Berlin, 1965 | MR | Zbl

[7] Popov V. L., “Predstavleniya so svobodnym modulem kovariantov”, Funkts. analiz, 10:3 (1976), 91–92 | MR | Zbl