Homogeneity or otherwise for Certain Morphism Spaces.
Homogeneity rank of real representations of compact Lie groups.
Homogeneity results for invariant distributions of a reductive p-adic group
Homogeneous Carnot groups related to sets of vector fields
In this paper, we are concerned with the following problem: given a set of smooth vector fields on , we ask whether there exists a homogeneous Carnot group such that is a sub-Laplacian on . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we exhibit several...
Homogeneous Complex Surfaces.
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?