Gli universi ipersferici, il gruppo conforme ed il campo gravitazionale di Newton.
Global Parametrization of Scalar Holomorphic Coadjoint Orbits of a Quasi-Hermitian Lie Group
Let be a quasi-Hermitian Lie group with Lie algebra and be a compactly embedded subgroup of . Let be a regular element of which is fixed by . We give an explicit -equivariant diffeomorphism from a complex domain onto the coadjoint orbit of . This generalizes a result of [B. Cahen, Berezin quantization and holomorphic representations, Rend. Sem. Mat. Univ. Padova, to appear] concerning the case where is associated with a unitary irreducible representation of which is holomorphically...
Global representations of the Schrödinger equation with singular potential
We study the representation theory of the solution space of the one-dimensional Schrödinger equation with singular potential V λ(x) = λx −2 as a representation of . The subspace of solutions for which the action globalizes is constructed via nonstandard induction outside the semisimple category. By studying the subspace of K-finite vectors in this space, a distinguished family of potentials, parametrized by the triangular numbers is shown to generate a global representation of ⋉ H 3, where H...
Globality in semisimple Lie groups
In the first section of this paper we give a characterization of those closed convex cones (wedges) in the Lie algebra which are invariant under the maximal compact subgroup of the adjoint group and which are controllable in the associated simply connected Lie group , i.e., for which the subsemigroup generated by the exponential image of agrees with the whole group (Theorem 13). In Section 2 we develop some algebraic tools concerning real root decompositions with respect to compactly...
Good Ideals in the Group Algebra of a Nilpotent Lie Group.
Good reduction of affinoids on the Lubin-Tate tower.
Graded nilpotent Lie algebra of rank 3 and inverse of a differential operator. (Algèbre de Lie nilpotente graduée de rang 3 et inverse d'un opérateur différentiel.)
Gromov's measure equivalence and rigidity of higher rank lattices.
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group.
Group Cohomology with Lipschitz Control and Higher Signatures.
Groupes associés aux algèbres de Kac-Moody
Groupes de Lie p-adiques et ramification
Groupes de Ping-Pong et comptage
Dans cet article, nous étudions les propriétés asymptotiques d’une large classe de sous-groupe discrets du groupe linéaire réel : les groupes de Ping-Pong. Nous décrivons leur action sur l’espace projectif réel et le comportement à l’infini de leur fonction de comptage.
Groupes de Schottky et comptage
Soient un espace symétrique de type non compact et un groupe discret d’isométries de du type de Schottky. Dans cet article, nous donnons des équivalents des fonctions orbitales de comptage pour l’action de sur .
Groupes localement compacts
Groupes quantiques
Groupes réductifs sur un corps local : I. Données radicielles valuées
Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.
The purpose of this paper is to prove the existence of a symplectic realization for a large class of regular Poisson manifolds with Riemannian two dimensional characteristic foliation. To do so, we will show that the homotopy groupoid of a Riemannian foliation is locally trivial.
Groups acting on trees : from local to global structure
Groups of -diffeomorphisms related to a foliation
The notion of a -diffeomorphism related to a foliation is introduced. A perfectness theorem for the group of -diffeomorphisms is proved. A remark on -diffeomorphisms is given.