Notes sur l'indice des algèbres de Lie (I)

Details Notes sur l'indice des algèbres de Lie (I) Notes sur l'indice des algèbres de Lie (I)

2006-05-18

arxiv.org/abs/math/0605499v2

Mathematics

Representation Theory

Article is written in french. The author's name has been corrected

Scientific paper

This article contains: - Proofs of certain results recently obtained by D. Panyushev. - An addendum to the "inequality of Panyushev". - Calculations of indexes of certain contracted Lie algebras. - Examples of additivity of the index of Lie algebras. ----- On trouvera dans ce papier : - Des d\'emonstrations de certains des r\'esultats obtenus r\'ecemment par D. Panyushev. - Un compl\'ement portant sur "l'in\'egalit\'e de Panyushev''. - Des calculs d'indices de certaines contract\'ees d'alg\`ebres de Lie. - Des exemples d'additivit\'e de l'indice des alg\`ebres de Lie.

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