Explicit geodesic flow-invariant distributions using -representation ladders.
Explicit Hilbert spaces for certain unipotent representations.
Explicit Howe duality in the stable range.
Explicit Kazhdan constants for representations of semisimple and arithmetic groups
Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described explicitly....
Exponential functionals of brownian motion and class-one Whittaker functions
We consider exponential functionals of a brownian motion with drift in ℝn, defined via a collection of linear functionals. We give a characterisation of the Laplace transform of their joint law as the unique bounded solution, up to a constant factor, to a Schrödinger-type partial differential equation. We derive a similar equation for the probability density. We then characterise all diffusions which can be interpreted as having the law of the brownian motion with drift conditioned on the law of...
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential Lie groups with disconnected near Cartan subgroups.
Exponential mapping for Lie groupoids. Applications
Exponents in Archimedean Arthur packets
Generalizing the proof – by Hecht and Schmid – of Osborne’s conjecture we prove an Archimedean (and weaker) version of a theorem of Colette Moeglin. The result we obtain is a precise Archimedean version of the general principle – stated by the second author – according to which a local Arthur packet contains the corresponding local -packet and representations which are more tempered.
Expression for a general element of an matrix.
Extendibility, monodromy, and local triviality for topological groupoids.
Extending congruences on factors of ideally compactifiable semigroups.
Extension and reconstruction theorems for the Urysohn universal metric space
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Extension de la catégorie des algèbres de Kac
On munit la classe des algèbres de Kac d’une nouvelle classe de morphismes, stable par dualité. Cela permet de rendre compte, dans les cas abélien ou symétrique, de la catégorie des groupes localement compacts munis des morphismes continus de groupe. Le lien avec les morphismes précédemment définis et beaucoup plus restrictifs est établi.
Extension of the Poincaré symmetry and its field theoretical implementation.
Extension of Wang-Gong monotonicity result in semisimple Lie groups
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Extension properties of WS-groups.
Extensions Between Generalized Verma Modules: The Hermitian Symmetric Cases.
Extensions de Lie et groupes d'automorphismes de corps locaux
Extensions de plusieurs représentations des groupes produits semi-directs