Rapport sur les champs symplectiques formels
Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et séries génératrices non commutatives.
Regular Fréchet-Lie groups of invertible elements in some inverse limits of unital involutive Banach algebras.
Regular Lie groups and a theorem of Lie-Palais.
Relationships between generalized Heisenberg algebras and the classical Heisenberg algebra
A Lie algebra is called a generalized Heisenberg algebra of degree n if its centre coincides with its derived algebra and is n-dimensional. In this paper we define for each positive integer n a generalized Heisenberg algebra 𝓗ₙ. We show that 𝓗ₙ and 𝓗 ₁ⁿ, the Lie algebra which is the direct product of n copies of 𝓗 ₁, contain isomorphic copies of each other. We show that 𝓗ₙ is an indecomposable Lie algebra. We prove that 𝓗ₙ and 𝓗 ₁ⁿ are not quotients of each other when n ≥ 2, but 𝓗 ₁ is a...
Remarque sur la cohomologie de l'algèbre de Lie des champs de vecteurs sur la sphère
Root multiplicities and ideals in quasisimple Lie algebras.
Root systems extended by an Abelian group and their Lie algebras.