Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups
Title | Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups PDF eBook |
Author | Matthew Emerton |
Publisher | |
Total Pages | 168 |
Release | 2017 |
Genre | Geometry, Analytic |
ISBN | 9781470440527 |
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
Locally Analytic Vectors in Representations of Locally -adic Analytic Groups
Title | Locally Analytic Vectors in Representations of Locally -adic Analytic Groups PDF eBook |
Author | Matthew J. Emerton |
Publisher | American Mathematical Soc. |
Total Pages | 158 |
Release | 2017-07-13 |
Genre | Geometry, Analytic |
ISBN | 0821875620 |
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.
p-adic Banach Space Representations
Title | p-adic Banach Space Representations PDF eBook |
Author | Dubravka Ban |
Publisher | Springer Nature |
Total Pages | 219 |
Release | 2023-02-11 |
Genre | Mathematics |
ISBN | 3031226844 |
This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.
Automorphic Forms and Galois Representations
Title | Automorphic Forms and Galois Representations PDF eBook |
Author | Fred Diamond |
Publisher | Cambridge University Press |
Total Pages | 385 |
Release | 2014-10-16 |
Genre | Mathematics |
ISBN | 1107691923 |
Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Sur un Problème de Compatibilité Local-Global Localement Analytique
Title | Sur un Problème de Compatibilité Local-Global Localement Analytique PDF eBook |
Author | Christophe Breuil |
Publisher | American Mathematical Society |
Total Pages | 166 |
Release | 2023-11-27 |
Genre | Mathematics |
ISBN | 1470465477 |
View the abstract.
Geometry and Dynamics of Groups and Spaces
Title | Geometry and Dynamics of Groups and Spaces PDF eBook |
Author | Mikhail Kapranov |
Publisher | Springer Science & Business Media |
Total Pages | 742 |
Release | 2008-03-05 |
Genre | Mathematics |
ISBN | 9783764386085 |
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
Modern Trends in Algebra and Representation Theory
Title | Modern Trends in Algebra and Representation Theory PDF eBook |
Author | David Jordan |
Publisher | Cambridge University Press |
Total Pages | 407 |
Release | 2023-08-17 |
Genre | Mathematics |
ISBN | 1009097350 |
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.