In this memoir we study the local theory for Rankin Selberg convolutions for the degree 2ℓn standard [italic]L-function of generic representations of [italic]SO[subscript]2ℓ+1 ([italic capital]F) x GL[subscript italic]n ([italic capital]G) over a local field [italic capital]F.
This volume presents a detailed study of the anisotropic series representations of the free product group [bold]Z/2[bold]Z*···*[bold]Z/2[bold]Z. These representations are infinite dimensional, irreducible, unitary, and can be divided into principal and complimentary series. Anis…
This volume presents a detailed study of the anisotropic series representations of the free product group [bold]Z/2[bold]Z*···*[bold]Z/2[bold]Z. These representations are infinite dimensional, irreducible, unitary, and can be divided into principal and complimentary series. Anis…
In this work we develop an equivariant Sullivan-Wall surgery exact sequence in the category of smooth and locally linear actions of finite groups which satisfy the gap hypothesis. We then apply this machinery to various problems of classifying group actions on manifolds.
We examine the general problem of computing characteristic invariants of principal bundles whose structural group [italic capital]G is a topological group. Under the hypothesis that [italic capital]G has real cohomology finitely generated as an [bold]R-module, we are able to giv…
Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audience.
The theory of Lie groups is a very active part of mathematics and it is the twofold aim of these notes to provide a self-contained introduction to the subject and to make results about the structure of Lie groups and compact groups available to a wide audience. Particular emphas…
This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simultaneous generalization …
This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simultaneous generalization …
This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simultaneous generalization …