A generalized universal complexification for compact groups.
A geometric approach to on-diagonal heat kernel lower bounds on groups
We introduce a new method for obtaining heat kernel on-diagonal lower bounds on non- compact Lie groups and on infinite discrete groups. By using this method, we are able to recover the previously known results for unimodular amenable Lie groups as well as for certain classes of discrete groups including the polycyclic groups, and to give them a geometric interpretation. We also obtain new results for some discrete groups which admit the structure of a semi-direct product or of a wreath product....
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 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 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.
A Multiplicity One Theorem for Holomorphically Induced Representations.
A multiplier theorem for H-type groups
We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
A New Approach to the Rigidity of Discrete Group Actions.