Non-stable linear actions of connected semisimple complex algebraic groups
Sbornik. Mathematics, Tome 186 (1995) no. 1, pp. 107-119

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The Cartan subalgebras of non-stable linear actions of connected simple groups and non-stable irreducible linear actions of connected semisimple groups are computed.
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V. É. Kordonskii; E. A. Tevelev. Non-stable linear actions of connected semisimple complex algebraic groups. Sbornik. Mathematics, Tome 186 (1995) no. 1, pp. 107-119. http://geodesic.mathdoc.fr/item/SM_1995_186_1_a5/