Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
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
Kazhdan's property (T) and amenable representations.
Kinematic geometry of regular motions in homogeneous space
K-Invariants in the universal enveloping algebra of the Desitter Group.
K-theory of twisted differential operators on flag varieties.
-invariants of locally symmetric spaces.
estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III
Let be a symmetric space of the noncompact type, with Laplace–Beltrami operator , and let be the -spectrum of . For in such that , let be the operator on defined formally as . In this paper, we obtain operator norm estimates for for all , and show that these are optimal when is small and when is bounded below .
La formule de Poisson-Plancherel pour un groupe presque algébrique à radical abélien: Cas où le stabilisateur générique est réductif
Ladder representation norms for Hermitian symmetric groups.
Laplace transform and unitary highest weight modules.
Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. II
Lefschetz numbers and twisted stabilized orbital integrals.
Les noyaux de Bergman et Szegö pour des domaines strictment pseudo-convexes qui généralisent la boule.
Let G be a complex semi-simple group with a compact maximal group K and an irreducible holomorphic representation ρ on a finite dimensional space V. There exists on V a K-invariant Hermitian scalar product. Let Ω be the intersection of the unit ball of V with the G-orbit of a dominant vector. Ω is a generalization of the unit ball (case obtained for G = SL(n,C) and ρ the natural representation on Cn).We prove that for such manifolds, the Bergman and Szegö kernels as for the ball are rational fractions...
Les p-extensions entre représentations simples de au voisinage du caractère trivial, et leurs cup-produits
Lie Algebra Cohomology and the Resolution of Certain Harish-Chandra Modules.
Limit Characters of Reductive Lie Groups.
Limit formulas for groups with one conjugacy class of Cartan subgroups
Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which was proposed by Rossmann. The main technical tool in our analysis are the results of Schmid and Vilonen on the equivariant sheaves on the flag variety...