Series of nilpotent orbits.
Sharply Transitive Linear Groups and Nearfields over p-adic Fields.
Some necessary and sufficient conditions for nilpotent -Lie superalgebras
The paper studies nilpotent -Lie superalgebras over a field of characteristic zero. More specifically speaking, we prove Engel’s theorem for -Lie superalgebras which is a generalization of those for -Lie algebras and Lie superalgebras. In addition, as an application of Engel’s theorem, we give some properties of nilpotent -Lie superalgebras and obtain several sufficient conditions for an -Lie superalgebra to be nilpotent by using the notions of the maximal subalgebra, the weak ideal and the...
Stable bundles and algebraically completely integrable systems
Sur la classification des idéaux primitifs des algèbres enveloppantes
Sur la structure des algèbres de Lie rigides
On étudie la structure des algèbres de Lie rigides sur un corps algébriquement clos de caractéristique 0. Elles sont algébriques. Quand le radical est non nilpotent leur dimension est la même que celle de l’algèbre des dérivations. Quand le radical est nilpotent elle appartient à l’un des cas suivants : parfaite, produit direct d’une algèbre parfaite par le corps de base ou encore toutes les dérivations semi-simples sont intérieures.
Surprising properties of centralisers in classical Lie algebras
Let be a classical Lie algebra, i.e., either , , or and let be a nilpotent element of . We study various properties of the centralisers . The first four sections deal with rather elementary questions, like the centre of , commuting varieties associated with , or centralisers of commuting pairs. The second half of the paper addresses problems related to different Poisson structures on and symmetric invariants of .