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

2017 Geometry, Analytic
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Release : 2017
Genre : Geometry, Analytic
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Book Rating : 527/5 ( reviews)

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Book Synopsis Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups by : Matthew Emerton

Download or read book Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups written by Matthew Emerton. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: 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 $p$-adic Analytic Groups

2017-07-13 Mathematics
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Release : 2017-07-13
Genre : Mathematics
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Book Rating : 620/5 ( reviews)

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Book Synopsis Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups by : Matthew J. Emerton

Download or read book Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups written by Matthew J. Emerton. This book was released on 2017-07-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Two Results on Locally Analytic Representations of P-adic Groups

2021 Representations of groups
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Release : 2021
Genre : Representations of groups
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Book Synopsis Two Results on Locally Analytic Representations of P-adic Groups by : Aranya Lahiri

Download or read book Two Results on Locally Analytic Representations of P-adic Groups written by Aranya Lahiri. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation we prove two results on locally analytic representation theory of p-adic groups.

Characters in Locally Analytic Representation Theory of P-adic Reductive Groups

2009
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Release : 2009
Genre :
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Book Synopsis Characters in Locally Analytic Representation Theory of P-adic Reductive Groups by : Ralf Diepholz

Download or read book Characters in Locally Analytic Representation Theory of P-adic Reductive Groups written by Ralf Diepholz. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

p-adic Banach Space Representations

2023-02-11 Mathematics
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Release : 2023-02-11
Genre : Mathematics
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Book Rating : 844/5 ( reviews)

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Book Synopsis p-adic Banach Space Representations by : Dubravka Ban

Download or read book p-adic Banach Space Representations written by Dubravka Ban. This book was released on 2023-02-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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