Projective limits of locally symmetric spaces and cohomology.
Propriétés (Q) et (C). Variété commutante
Soient une variété algébrique complexe, lisse, irréductible, et deux espaces vectoriels complexes de dimension finie et un morphisme de dans l’espace Lin des applications linéaires de dans . Pour , on note et le noyau et l’image de , le morphisme de dans Lin qui associe à l’application linéaire . Soit i la dimension minimale de . On dit que ala propriété en si i est inférieur à i. Soient le dual de , S l’algèbre symétrique de , l’idéal de engendré par...
Pseudo-abelian varieties
Chevalley’s theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field to be a smooth connected -group in which every smooth connected affine normal -subgroup is trivial. This gives a new point of view on the classification of algebraic groups: every smooth connected group over a field is an extension...
Pseudo-coefficients très cuspideaux et K-théorie.
Pseudo-Riemannian weakly symmetric manifolds of low dimension
We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions and , based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive -dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a -dimensional reductive -fold symmetric pseudo-Riemannian manifold must be globally symmetric.
Quantification of coadjoint orbits and the theory of contractions. (Quantification d'orbites coadjointes et théorie des contractions.)
Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
In this paper we show that the multiplicities of holomorphic discrete series representations relative to reductive subgroups satisfy the credo “quantization commutes with reduction”.
Quantum faithfully detects mapping class groups modulo center.
Rankin–Cohen brackets and representations of conformal Lie groups
This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010.The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a non-commutative product...
Rapidly decreasing functions on general semisimple groups
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Reducibility of Unramified Unitary Principal Series Representations of p-Adic Groups and Class-1 Representations.
Relative discrete series of line bundles over bounded symmetric domains
We study the relative discrete series of the -space of the sections of a line bundle over a bounded symmetric domain. We prove that all the discrete series appear as irreducible submodules of the tensor product of a holomorphic discrete series with a finite dimensional representation.
Relative Kazhdan property
Remark on the complexified Iwasawa decomposition.
Représentations de carré intégrable des groupes semi-simples réels
Représentations exceptionnelles des groupes semi-simples
Representations of pseudo-unitary groups associated with a cone.
Representations of the group of functions taking values in a compact Lie group
Représentations unitaires irréductibles des groupes simples complexes de rang deux