Restrictions to a Cartan subspace of invariant functions on the tangent space of a symmetric space. (Restrictions à un sous-espace de Cartan des fonctions invariantes sur l'espace tangent d'un espace symétrique.)
Revêtements «spinoriels» du groupe symplectique et indices de Maslov
Ricci Curvature of Left Invariant Metrics on Solvable Unimodular Lie Groups.
Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups
The purpose of this paper is to investigate Ricci-flatness of left-invariant Lorentzian metrics on 2-step nilpotent Lie groups. We first show that if is a Ricci-flat left-invariant Lorentzian metric on a 2-step nilpotent Lie group , then the restriction of to the center of the Lie algebra of is degenerate. We then characterize the 2-step nilpotent Lie groups which can be endowed with a Ricci-flat left-invariant Lorentzian metric, and we deduce from this that a Heisenberg Lie group can be...
Riemannian analogue of a Paley-Zygmund theorem
Riesz means on Lie groups and riemannian manifolds of nonnegative curvature
Riesz potentials and amalgams
Let be a metric space, equipped with a Borel measure satisfying suitable compatibility conditions. An amalgam is a space which looks locally like but globally like . We consider the case where the measure of the ball with centre and radius behaves like a polynomial in , and consider the mapping properties between amalgams of kernel operators where the kernel behaves like when and like when . As an application, we describe Hardy–Littlewood–Sobolev type regularity theorems...
Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures
Rigidité forte des espaces riemanniens localement symétriques
Rigidity and cocycles for ergodic actions of semi-simple Lie groups
Rigidity and cohomology of hyperbolic manifolds
When is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results.
Rigidity of group actions
Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group.
Rings of regular functions on nilpotent orbits and their covers.
Rodrigues-type formulae for Hermite and Laguerre polynomials.
, the cubic and the quartic
We describe the branching rule from to , where the latter is embedded via its action on binary cubic forms. We obtain both a numerical multiplicity formula, as well as a minimal system of generators for the geometric realization of the rule.
Satake compactifications.
Scalar irreducibility of Eigenspace Representations associated to a symmetric space.
Schémas en groupes et immeubles des groupes exceptionnels sur un corps local. Première partie : le groupe
Nous obtenons une version explicite de la théorie de Bruhat-Tits pour les groupes exceptionnels de type sur un corps local. Nous décrivons chaque construction concrètement en termes de réseaux : l’immeuble, les appartements, la structure simpliciale, les schémas en groupes associés. Les appendices traitent de l’analogie avec les espaces symétriques réels et des espaces symétriques associés à réel et complexe.
Schémas en groupes et immeubles des groupes exceptionnels sur un corps local. Deuxième partie : les groupes et
Nous obtenons une version explicite de la théorie de Bruhat-Tits pour les groupes exceptionnels des type ou sur un corps local. Nous décrivons chaque construction concrètement en termes de réseaux : l’immeuble, les appartements, la structure simpliciale, les schémas en groupes associés.