Some counterexamples for infinite dimensional Lie algebras
Some examples of nil Lie algebras
Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.
Some Primitive Differential Operator Rings.
Star-products on symplectic manifolds
Sur la cohomologie de l'algèbre de Lie des champs de vecteurs de contact formels
Nous démontrons la finitude de la cohomologie de l’algèbre de Lie des champs de vecteurs formels à variables, respectant la forme de contact universelle .
Sur l'algèbre de Lie des sections d'un fibré en algèbres de Lie
On étudie la structure naturelle d’algèbre de Lie de l’espace des sections de classe d’un fibré localement trivial dont la fibre-type est une algèbre de Lie ; on décrit, en particulier, ses dérivations et ses automorphismes. On détermine les algèbres de Lie pour lesquelles cette structure caractérise la structure différentiable de la base du fibré.
Sur une famille d'algèbres de Lie idéalement finies
Systèmes de racines infinis
The algebra of compact operators does not have any finite-codimensional ideal
The arithmetic theory of loop groups
The automorphisms of generalized Witt type Lie algebras.
The derived join theorem and coalescence in Lie algebras
The Differentiable Structure of Three Remarkable Diffeomorphism Groups.
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 .
The Kontsevich integral and quantized Lie superalgebras.
The Lie algebra of endomorphisms of an infinite-dimensional vector space
The Minimal Condition for Subideals of Lie Algebras.
The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities.
The structure of standard modules. II. The case A1(1), principal gradation.
The supports of simple modules over toroidal algebras.