Cocycles on abelian groups and primitive ideals in group -algebras of two step nilpotent groups and connected Lie groups.
Cocyle Representations of Solvable Lie Groups.
Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .
Cofinal types of topological directed orders
We investigate the structure of the Tukey ordering among directed orders arising naturally in topology and measure theory.
Coherent pair of extensions of locally compact groups
Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
The aim of these notes is to generalize Laumon’s construction [20] of automorphic sheaves corresponding to local systems on a smooth, projective curve to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article “ On the geometric Langlands conjecture” by Frenkel, Gaitsgory and Vilonen [11]...
Coherent states and square integrable representations
Coherent states and symmetric spaces. II
Coherent states of the 1+1 dimensional Poincaré group : square integrability and a relativistic Weyl transform
Cohomologie de certains groupes discrets et laplacien -adique
Cohomologie des groupes discrets
Cohomologie d’intersection et fonctions de certaines variétés de Shimura
Cohomologie, -groupes et fonctorialité
Cohomologie T-équivariante de la variété de drapeaux d'un groupe de Kač-Moody
Cohomology of arithmetic subgroups of SL3 at infinity.
Cohomology of Drinfeld symmetric spaces and Harmonic cochains
Let be a non-archimedean local field. This paper gives an explicit isomorphism between the dual of the special representation of and the space of harmonic cochains defined on the Bruhat-Tits building of , in the sense of E. de Shalit [11]. We deduce, applying the results of a paper of P. Schneider and U. Stuhler [9], that there exists a -equivariant isomorphism between the cohomology group of the Drinfeld symmetric space and the space of harmonic cochains.
Cohomology of for classical complex Lie supergroups and characters of some atypical -modules
We compute the unique nonzero cohomology group of a generic - linearized locally free -module, where is the identity component of a complex classical Lie supergroup and is an arbitrary parabolic subsupergroup. In particular we prove that for this cohomology group is an irreducible -module. As an application we generalize the character formula of typical irreducible -modules to a natural class of atypical modules arising in this way.
Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.
Combinatorial and group-theoretic compactifications of buildings
Let be a building of arbitrary type. A compactification of the set of spherical residues of is introduced. We prove that it coincides with the horofunction compactification of endowed with a natural combinatorial distance which we call the root-distance. Points of admit amenable stabilisers in and conversely, any amenable subgroup virtually fixes a point in . In addition, it is shown that, provided is transitive enough, this compactification also coincides with the group-theoretic...
Combinatorial integers and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds.