Jacobi Forms and Discrete Series Representations of the Jacobi Group.
Jacobians and invariants.
Jacquet functors and unrefined minimal K-types.
Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties
Jet spaces as nonrigid Carnot groups.
Jets de fonctions differentiables sur le dual d'un groupe de Lie nilpotent.
Joint continuity of affine semigroup actions.
Joint continuity of sequentially continuous maps
Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Kac-Moody groups, hovels and Littelmann paths
We give the definition of a kind of building for a symmetrizable Kac-Moody group over a field endowed with a discrete valuation and with a residue field containing . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if , the geodesic segments...
Kaehler coherent state orbits for representations of semisimple Lie groups
Kähler structures and convexity properties of coadjoint orbits.
Kazhdan constants and matrix coefficients of .
Kazhdan constants and the dual space topology.
Kazhdan constants associated with Laplacian on connected Lie groups.
Kazhdan constants for SL (3, Z).
Kazhdan groups acting on compact manifolds.
Kazhdan-Lusztig Conjecture and Holonomic Systems.