Étude du groupe et quelques applications
Euler characteristics for -adic Lie groups
Eulerian idempotent and Kashiwara-Vergne conjecture
By using the interplay between the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution of the first equation of the Kashiwara-Vergne conjectureThen, we explicit all the solutions of the equation in the completion of the free Lie algebra generated by two indeterminates and thanks to the kernel of the Dynkin idempotent.
Every reasonably sized matrix group is a subgroup of S ∞
Every reasonably sized matrix group has an injective homomorphism into the group of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into .
Example of a convergence commutative group which is not separated
Example of a six-dimensional LCK solvmanifold
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Exceptional smooth Bol loops.
Exemples d'actions non continues d'un groupe dans un compact.
Exemples de feuilletages de Lie
Nous donnons des exemples de feuilletages de Lie sur une variété compacte qui ne se déforment pas en des feuilletages de Lie à holonomie discrète.
Existence and construction of two-dimensional invariant subspaces for pairs of rotations
By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove that every...
Existence and structure theorems for semigroup compactifications.
Existence de certaines connexions plates invariantes sur les groupes de Lie
On donne une caractérisation des groupes de Lie qui admettent une connexion invariante à gauche sans courbure ni torsion et dont la forme de connexion est à valeurs dans l’algèbre adjointe. On fait le lien entre cette question et le problème de platitude de certaines -structures invariantes à gauche sur les groupes de Lie.
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
Existence of generalized symmetric Riemannian spaces with solvable isometry group
Existence of infinite-dimensional Lie algebra for a unitary group on a Hilbert space and related aspects
We show that for any strongly closed subgroup of a unitary group of a finite von Neumann algebra, there exists a canonical Lie algebra which is complete with respect to the strong resolvent topology. Our analysis is based on the comparison between measure topology induced by the tracial state and the strong resolvent topology we define on the particular space of closed operators on the Hilbert space. This is an expository article of the paper by both authors in Hokkaido Math. J. 41 (2012), 31-99,...
Existence of positive harmonic functions on groups and on covering manifolds
Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups
Expanding Maps of Solenoids.
Expansive Automorphisms in Compact Groups.
Explicit description of a family of affine Kac-Moody groups. (Description explicite d'une famille de groupes de Kac-Moody affines.)