A geometric classification of Lie groups.
This paper is part of a general program that was originally designed to study the Heat diffusion kernel on Lie groups.
A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
A geometric embedding for standard analytic modules.
A Geometric Property of Central Elements.
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
A groupoid formulation of the Baire Category Theorem
We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.
A Guichard theorems on connected monothetic groups
A Heat Semigroup Version of Bernstein's Theorem on Lie Groups.
A Kirillov theory for divisible nilpotent groups.
A Künneth formula in topological homology and its applications to the simplicial cohomology of
We establish a Künneth formula for some chain complexes in the categories of Fréchet and Banach spaces. We consider a complex of Banach spaces and continuous boundary maps dₙ with closed ranges and prove that Hⁿ(’) ≅ Hₙ()’, where Hₙ()’ is the dual space of the homology group of and Hⁿ(’) is the cohomology group of the dual complex ’. A Künneth formula for chain complexes of nuclear Fréchet spaces and continuous boundary maps with closed ranges is also obtained. This enables us to describe explicitly...
A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.
A Lebesgue decomposition for elements in a topological group.
A Lemma on Highly Ramified ...-Factors.
A Lie Group Structure for Fourier Integral Operators.
A Lie Group Structure on the Space of Time-dependent Vector Fields.
A local trace formula
A manifold structure for analytic isotropy Lie pseudogroups of infinite type.
A method for weight multiplicity computation based on Berezin quantization.
A Modular Construction of Unramified p-Extension of Q (...).
A mountain pass theorem for actions of compact Lie groups.