Sur certaines classes d'algèbres de Lie rigides.
Sur la bicontinuité de l'application de Dixmier pour les algèbres de Lie résolubles
Sur la méthode des orbites pour une algèbre de Lie résoluble
Soit une algèbre de Lie complètement résoluble sur un corps de caractéristique zéro. Soit un idéal -invariant de l’algèbre symétrique de . L’application de Dixmier pour associe à un idéal premier de l’algèbre enveloppante de . Soit l’algèbre des opérateurs différentiels à coefficients séries formelles. Dans l’algèbre des opérateurs différentiels à coefficients polynomiaux, il y a un idéal à gauche qui contient et les champs de vecteurs adjoints. Il y a un plongement canonique...
Sur la représentation coadjointe des algèbres de Lie résolubles.
Sur la représentation coadjointe d'une algèbre de Lie
Sur les algèbres de Lie nilpotentes admettant un tore de dérivations.
Symplectic torus actions with coisotropic principal orbits
In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic submanifold of . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form.In order to deal with symplectic actions which are not Hamiltonian,...
Système de poids sur une algèbre de Lie nilpotente.
Systèmes de générateurs normalisants
Test sets in free metabelian Lie algebras.
The approximative centre of a Lie algebra.
The Campbell-Hausdorff Formula and Invariant Hyperfunctions.
The categories of free metabelian groups and Lie algebras
The characteristic elements of special nilpotent Lie algebras of dimension ten.
The classification of two step nilpotent complex Lie algebras of dimension
A Lie algebra is called two step nilpotent if is not abelian and lies in the center of . Two step nilpotent Lie algebras are useful in the study of some geometric problems, such as commutative Riemannian manifolds, weakly symmetric Riemannian manifolds, homogeneous Einstein manifolds, etc. Moreover, the classification of two-step nilpotent Lie algebras has been an important problem in Lie theory. In this paper, we study two step nilpotent indecomposable Lie algebras of dimension over the...
The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.
The derived join theorem and coalescence in Lie algebras
The existence of c-covers of Lie algebras
The aim of this work is to obtain the structure of c-covers of c-capable Lie algebras. We also obtain some results on the existence of c-covers and, under some assumptions, we prove the absence of c-covers of Lie algebras.
The graded Lie algebra of a Kähler group.
The groups of automorphisms of the Witt and Virasoro Lie algebras
Let be a Laurent polynomial algebra over a field of characteristic zero, the Lie algebra of -derivations of the algebra , the so-called Witt Lie algebra, and let be the Virasoro Lie algebra which is a -dimensional central extension of the Witt Lie algebra. The Lie algebras and are infinite dimensional Lie algebras. We prove that the following isomorphisms of the groups of Lie algebra automorphisms hold: , and give a short proof that .