An infinite dimensional approach to the third fundamental theorem of Lie.
An integral formula for cocycles of Lie groups
An intrinsic analysis of unitarizable highest weight modules.
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
An obstruction to represent abelian Lie algebras by unipotent matrices.
The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
An overview of free nilpotent Lie algebras
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.
Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.
Analogues of Weyl's formula for reduced enveloping algebras.
Analytic joint spectral radius in a solvable Lie algebra of operators
We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
Analyticité et itères d'un système de champs non elliptique
Annihilators and associated varieties of unitary highest weight modules
Annihilators of Verma modules for Kac-Moody algebras.
Anyonic Groups
Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.
Applications of the characteristic identity for GL(N)
Approximation in Lie transformation groups by superposition of one-parameter subgroups. (Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen.)
Arc operads and arc algebras.
ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan
Nous tentons, dans ce survol, de présenter une structure méconnue : l'algèbre de Lie ARI et son groupe GARI. Puis nous montrons quels progrès elle a déjà permis de réaliser dans l'étude arithmético-algébrique des valeurs zêta multiples et aussi quelles possibilités elle ouvre pour l'exploration du phénomène plus général de /emph{dimorphie numérique}.
Arithmetic features of rational conformal field theory