Geodesic
Regular elements in spaces of linear representations. II
Izvestiya. Mathematics, Tome 27 (1986) no. 2, pp. 279-284 
D. I. Panyushev. Regular elements in spaces of linear representations. II. Izvestiya. Mathematics, Tome 27 (1986) no. 2, pp. 279-284. http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For linear actions of semisimple groups with a Cartan subspace a connection is established between the equations that define the nonregular points in the space of a representation and the equations that define the points at which the orbit morphism is not smooth. Bibliography: 6 titles.

[1] Panyushev D. I., “Regulyarnye elementy v prostranstvakh lineinykh predstavlenii reduktivnykh algebraicheskikh grupp”, Izv. AN SSSR. Ser. matem., 48:2 (1984), 411–419 | MR | Zbl

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

[3] Panyushev D. I., “O prostranstvakh orbit konechnykh i svyaznykh lineinykh grupp”, Izv. AN SSSR. Ser. matem., 46:1 (1982), 95–99 | MR | Zbl

[4] Springer T., Teoriya invariantov, Mir, M., 1981 | MR | Zbl

[5] Richardson R. W., “An applications of the Serre conjecture to semisimple algebraic groups”, Algebra, Carbondale 1980 (Proc. Conf., Southern Illinois Univ., Carbondale, Ill., 1980), Lecture Notes in Math., 848, Springer, Berlin, 1981, 141–151 | MR

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