Finite dimensional continuous representations of compact regular semigroups.
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 point compactifications of (N, +).
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 .
Five-dimensional biquotients.
Fixelemente von Automorphismen nulldimensionaler abelscher Gruppen.
Fixpunkt- und Struktursätze für affine, algebraische Gruppenschemata in Charakteristik p.
Flexibility of surface groups in classical simple Lie groups
We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is (resp. , odd) and the surface group is maximal in some (resp. ). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
Flows on Invariant Subsets and Compactifications of a Locally Compact Group
Flows with Periodic Factors on Homogenous Spaces.
Foliations, groupoids and Baum-Connes conjecture.
Foliations induced by congruences.
Foliations, locally Lie groupoids and holonomy