Geodesic
On stability of diagonal actions and tensor invariants
Sbornik. Mathematics, Tome 203 (2012) no. 4, pp. 500-513

Voir la notice de l'article provenant de la source Math-Net.Ru

For a connected simply connected semisimple algebraic group $G$ we prove the existence of invariant tensors in certain tensor powers of rational $G$-modules and establish relations between the existence of such invariant tensors and stability of diagonal actions of $G$ on affine algebraic varieties. Bibliography: 12 titles.
Keywords: Weyl group, balanced collection.
Mots-clés : stable action 
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     author = {A. B. Anisimov},
     title = {On stability of diagonal actions and tensor invariants},
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A. B. Anisimov. On stability of diagonal actions and tensor invariants. Sbornik. Mathematics, Tome 203 (2012) no. 4, pp. 500-513. http://geodesic.mathdoc.fr/item/SM_2012_203_4_a1/