Abstract. Let G be any compact non-commutative simple Lie group not locally isomorphic to SO(3). We present a generalization of a theorem of Lubotzky, Phillips and Sarnak on distributing points on the sphere S2 (or S3) to any homogeneous space of G, in particular, to all higher dimensional spheres. Our results can also be viewed as a quantitative solution to the generalized Ruziewicz problem for any homogeneous space of G. 1
We generalize the pointwise, global and local Hölder spaces on unimodular Lie groups with a particul...
AbstractWe study locally compact group topologies on simple and semisimple Lie groups. We show that ...
In this paper one considers a unimodular second countable locally compact group $G$ and the homogene...
We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact...
We provide a general strategy to construct multilinear inequalities of Brascamp Lieb type on compact...
AbstractLet G be a complex, connected and simply connected semisimple Lie group with Lie algebra g. ...
This paper proves that there are no compact forms for a large class of homogeneous spaces admitting ...
Abstract. Given a lattice Γ in a locally compact group G and a closed subgroup H of G, one has a nat...
This thesis is devoted to the study of some integral inequalities on Lie groups and their homogeneou...
An action of L on a homogeneous space G/H is investigated where L,H ⊂ G are reductive Lie groups. A ...
International audienceAn abstract version of concentration compactness on Hilbert spaces applies to ...
Abstract. Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed subgr...
A general approach to compute the spherical measure of submanifolds in homogeneous groups is provide...
For simply connected nilpotent Lie groups, we show that a probability measure is gaussian in the sen...
In this paper we extend the De Giorgi notion of rectifiability of surfaces in non homogeneous Lie gr...
We generalize the pointwise, global and local Hölder spaces on unimodular Lie groups with a particul...
AbstractWe study locally compact group topologies on simple and semisimple Lie groups. We show that ...
In this paper one considers a unimodular second countable locally compact group $G$ and the homogene...
We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact...
We provide a general strategy to construct multilinear inequalities of Brascamp Lieb type on compact...
AbstractLet G be a complex, connected and simply connected semisimple Lie group with Lie algebra g. ...
This paper proves that there are no compact forms for a large class of homogeneous spaces admitting ...
Abstract. Given a lattice Γ in a locally compact group G and a closed subgroup H of G, one has a nat...
This thesis is devoted to the study of some integral inequalities on Lie groups and their homogeneou...
An action of L on a homogeneous space G/H is investigated where L,H ⊂ G are reductive Lie groups. A ...
International audienceAn abstract version of concentration compactness on Hilbert spaces applies to ...
Abstract. Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed subgr...
A general approach to compute the spherical measure of submanifolds in homogeneous groups is provide...
For simply connected nilpotent Lie groups, we show that a probability measure is gaussian in the sen...
In this paper we extend the De Giorgi notion of rectifiability of surfaces in non homogeneous Lie gr...
We generalize the pointwise, global and local Hölder spaces on unimodular Lie groups with a particul...
AbstractWe study locally compact group topologies on simple and semisimple Lie groups. We show that ...
In this paper one considers a unimodular second countable locally compact group $G$ and the homogene...