Facteurs locaux pour
Factor representations of diffeomorphism groups
We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in operator algebras....
Factorisations des monoïdes libres, bascules, et algèbres de Lie libres
Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye
Faithful Representations and a Local Property of Lie Groups.
Family algebras.
Feuilletages de Lie résolubles
Fields of tangent sets and Hofmann cones.
Filtrations on generalized Verma modules for Hermitian symmetric pairs.
Filtrations on Verma modules
Fine gradings of low-rank complex Lie algebras and of their real forms.
Finite dimensional modules of some quantum groups over Fp (v).
Finite groups of rotations. A supplement to the preceding article.
Finite orbit decomposition of real flag manifolds
Let be a connected real semi-simple Lie group and a closed connected subgroup. Let be a minimal parabolic subgroup of . It is shown that has an open orbit on the flag manifold if and only if it has finitely many orbits on . This confirms a conjecture by T. Matsuki.
Finite-dimensional Lie subalgebras of algebras with continuous inversion
We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute...
Finitely generated fuchsian groups.
Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices
The main result of this note, Theorem 1.3, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant and ergodic under the action of the infinite unitary group and that admits well-defined projections onto the quotient space of “corners" of finite size, must be finite. A similar result, Theorem 1.1, is also established for unitarily invariant measures on the space of all infinite complex matrices. These results imply that the infinite Hua-Pickrell measures...
Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Finitude géométrique en géométrie de Hilbert
On étudie la notion de finitude géométrique pour certaines géométries de Hilbert définies par un ouvert strictement convexe à bord de classe .La définition dans le cadre des espaces Gromov-hyperboliques fait intervenir l’action du groupe discret considéré sur le bord de l’espace. On montre, en construisant explicitement un contre-exemple, que cette définition doit être renforcée pour obtenir des définitions équivalentes en termes de la géométrie de l’orbifold quotient, similaires à celles obtenues...
First-order differential invariants of the splitting subgroups of the Poincaré group .