Erratum: “Weil representation and beta-extensions” by Corinne Blondel, volume 62.4 (2012), pp. 1319-1366.
Espaces de Poisson des groupes de Lie
Espaces symétriques de Drinfeld et correspondance de Langlands locale
Estimates for derivatives of the Green functions on homogeneous manifolds of negative curvature.
Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature.
Estimates for the Poisson kernel on higher rank NA groups
We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank NA groups.
Estimates for the Poisson kernels and a Fatou type theorem applications to analysis on Siegel domains
This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.
Estimates for the Poisson kernels and their derivatives on rank one NA groups
For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.
Estimates from Below for Lebesgue Constants of Fourier Series on Compact Lie Groups.
Estimations de la fonction maximale de Hardy-Littlewood
On montre que la fonction maximale de Hardy-Littlewood est de type sur certains groupes de Lie et variétés de Cartan-Hadamard.
États cohérents, théorie spectrale et représentations de groupes nilpotents
Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel
Etude de la 1-cohomologie et de la topologie du dual pour les groupes de Lie à radical Abelian.
Étude du groupe et quelques applications
Euler characteristics for -adic Lie groups
Eulerian idempotent and Kashiwara-Vergne conjecture
By using the interplay between the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution of the first equation of the Kashiwara-Vergne conjectureThen, we explicit all the solutions of the equation in the completion of the free Lie algebra generated by two indeterminates and thanks to the kernel of the Dynkin idempotent.
Example of a six-dimensional LCK solvmanifold
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Exemples de feuilletages de Lie
Nous donnons des exemples de feuilletages de Lie sur une variété compacte qui ne se déforment pas en des feuilletages de Lie à holonomie discrète.
Existence and construction of two-dimensional invariant subspaces for pairs of rotations
By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove that every...
Existence de certaines connexions plates invariantes sur les groupes de Lie
On donne une caractérisation des groupes de Lie qui admettent une connexion invariante à gauche sans courbure ni torsion et dont la forme de connexion est à valeurs dans l’algèbre adjointe. On fait le lien entre cette question et le problème de platitude de certaines -structures invariantes à gauche sur les groupes de Lie.