Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups

Ebook Details


Matthew J. Emerton

Year 2017
Pages 158
Publisher Amer Mathematical Society
Language en
ISBN 9780821875629
File Size 1.12 MB
File Format PDF
Download Counter 106
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Ebook Description

The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various ``radii of analyticity'').The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view.The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.