Homogeneous deformations of discrete groups.
Homogeneous Poisson structures on loop spaces of symmetric spaces.
Homogeneous spaces admitting transitive semigroups.
Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.
Homomorphic actions of IH on a compact group.
Homomorphic images of -factorizable groups
It is well known that every -factorizable group is -narrow, but not vice versa. One of the main problems regarding -factorizable groups is whether this class of groups is closed under taking continuous homomorphic images or, alternatively, whether every -narrow group is a continuous homomorphic image of an -factorizable group. Here we show that the second hypothesis is definitely false. This result follows from the theorem stating that if a continuous homomorphic image of an -factorizable...
Homomorphismes de Harish-Chandra liés aux -types minimaux des séries principales généralisées des groupes de Lie réductifs connexes
Homomorphisms and extensions of principal series representations.
Homomorphisms of ergodic group actions and conjugacy of skew product actions.
Homomorphisms of semiholonomic Verma modules: An exceptional case.
Homotopy nilpotent Lie groups have no torsion in homology.
Hopf algebras of smooth functions on compact Lie groups
A -Hopf algebra is a -algebra which is also a convenient Hopf algebra with respect to the structure induced by the evaluations of smooth functions. We characterize those -Hopf algebras which are given by the algebra of smooth functions on some compact Lie group , thus obtaining an anti-isomorphism of the category of compact Lie groups with a subcategory of convenient Hopf algebras.
Hopf mappings for complex quaternions.
Hörmander type multiplier theorem on complex Iwasawa AN groups
We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.
How frequent are discrete cyclic subgroups of semisimple Lie groups?
Howe's correspondence for a generic harmonic analyst
The goal of this article is to explain Howe's correspondence to a reader who is not necessarily an expert on representation theory of real reductive groups, but is familiar with general concepts of harmonic analysis. We recall Howe's construction of the oscillator representation, the notion of a dual pair and a few basic and general facts concerning the correspondence.
Hull-minimal ideals in the Schwartz algebra of the Heisenberg group
For every closed subset C in the dual space of the Heisenberg group we describe via the Fourier transform the elements of the hull-minimal ideal j(C) of the Schwartz algebra and we show that in general for two closed subsets of the product of and is different from .
Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces
We prove that Huygens’ principle and the principle of equipartition of energy hold for the modified wave equation on odd dimensional Damek–Ricci spaces. We also prove a Paley–Wiener type theorem for the inverse of the Helgason Fourier transform on Damek–Ricci spaces.
Hyperbolic 4-manifolds and conformally flat 3-manifolds
Hyperbolic 4-manifolds and tesselations