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Representations with a free module of covariants. (English. Russian original) Zbl 0365.20053

Funct. Anal. Appl. 10, 242-244 (1977); translation from Funkts. Anal. Prilozh. 10, No. 3, 91-92 (1976).

MSC:

20G05 Representation theory for linear algebraic groups
15A72 Vector and tensor algebra, theory of invariants
14L24 Geometric invariant theory
13A50 Actions of groups on commutative rings; invariant theory
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References:

[1] T. Vust, Thèse, Univ. de Genève; Thesis No. 1671, Geneva (1974).
[2] B. Kostant, Amer. J. Math.,85, No. 3, 327-402 (1963). · Zbl 0124.26802 · doi:10.2307/2373130
[3] B. Kostant and S. Rallis, Amer. J. Math.,93, No. 3, 753-809 (1971). · Zbl 0224.22013 · doi:10.2307/2373470
[4] N. Bourbaki, Lie Groups and Algebras, Addison-Wesley, New York. · Zbl 1120.17001
[5] V. G. Kats, Usp. Matem. Nauk,30, No. 6, 173-174 (1975).
[6] J. A. Dieudonné, J. B. Carrell, and D. B. Mumford, Invariant Theory: Old and New, Academic Press, New York (1971). · Zbl 0258.14011
[7] É. B. Vinberg, Izv. Akad. Nauk SSSR, Ser. Matem.,40, 488-526 (1976).
[8] É. B. Vinberg and A. L. Onishchik, Seminar on Algebraic Groups and Lie Groups, Mech.-Math. Faculty, Moscow State Univ., Moscow (1969). · Zbl 0876.22001
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