Inversion in some algebras of singular integral operators.
Invertible Carnot Groups
We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity. A more general characterization of inversion invariant bi-Lipschitz homogeneity for certain non-fractal metric spaces is also provided.
Iperalgebre dei gruppi abeliani localmente compatti
Irreducibility and generation in continuous lattices.
Irreducibility of certain nonunitary representations in spaces of eigendistributions. (Irréductibilité de certaines representations non unitaires dans des espaces de distributions propres.)
Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Irreducible Characters of Semisimple Lie Groups III. Proof of Kazhdan-Lusztig Conjecture in the Integral Case.
Irreducible induced representations of ICC-groups.
Irreducible Representations of a Maximal Compact Subgroup of PGL2 over the p-Adics.
Irreducible representations of exponential solvable Lie groups and operators with smooth kernels.
Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.
Irreducible semigroups are monotone.
Irresolvable countable spaces of weight less than
We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .
Is Topologically Simple Simple?
Isolated Points in Duals of Certain Locally Compact Groups.
Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups
We investigate the isometry groups of the left-invariant Riemannian and sub-Riemannian structures on simply connected three-dimensional Lie groups. More specifically, we determine the isometry group for each normalized structure and hence characterize for exactly which structures (and groups) the isotropy subgroup of the identity is contained in the group of automorphisms of the Lie group. It turns out (in both the Riemannian and sub-Riemannian cases) that for most structures any isometry is the...
Isomorphic groupoid -algebras associated with different Haar systems.
Isoperimetric Inequalities for Lattices in Semisimple Lie Groups of Rank 2.
Isospectral deformations of closed riemannian manifolds with different scalar curvature
We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds , more precisely, on , where is a torus of dimension and is a sphere of dimension . These metrics are not locally homogeneous; in particular, the scalar curvature of each metric is nonconstant. For some of the deformations, the maximum scalar curvature changes during the deformation.
Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.