Geodesic
An elementary proof of the Hilbert-Mumford criterion
The electronic journal of linear algebra, Tome 7 (2000), pp. 174-177.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: An elementary proof of the Hilbert-Mumford semistability criterion is given that is valid over C . The proof of the criterion is deduced from an elementary lemma in linear algebra that may be of independent interest.
Classification : 20G20, 14A25
Keywords: semistability criterion, algebraic one-parameter groups 
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     title = {An elementary proof of the {Hilbert-Mumford} criterion},
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Sury, B. An elementary proof of the Hilbert-Mumford criterion. The electronic journal of linear algebra, Tome 7 (2000), pp. 174-177. http://geodesic.mathdoc.fr/item/ELA_2000__7__a2/