A connected Lie group equals the square of the exponential image.
A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.
A general non-linear convexity theorem.
A mountain pass theorem for actions of compact Lie groups.
A note on central extensions of Lie groups.
A note on Lie semialgebras in .
A Poisson kernel on Heisenberg type nilpotent groups
À propos de l'article «Sur la cohomologie réelle des groupes de Lie simples réels»
A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.)
A theorem on generic intersections in an o-minimal structure
Consider a transitive definable action of a Lie group G on a definable manifold M. Given two (locally) definable subsets A and B of M, we prove that the dimension of the intersection σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.
Absolutely Closed Lie Groups.
Actions of compact connected Lie Groups with few orbit types.
Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique
Almost Lie groups of type ...n.
An estimation of the controllability time for single-input systems on compact Lie Groups
Geometric control theory and Riemannian techniques are used to describe the reachable set at time t of left invariant single-input control systems on semi-simple compact Lie groups and to estimate the minimal time needed to reach any point from identity. This method provides an effective way to give an upper and a lower bound for the minimal time needed to transfer a controlled quantum system with a drift from a given initial position to a given final position. The bounds include diameters...
An infinite dimensional approach to the third fundamental theorem of Lie.
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
Analysis on Lie groups.
Arrondissement des variétés à coins - Appendice à "Corners and Arithmetic Groups"
Asymptotic behavior and rectangular band structures in SL.