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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.

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

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:

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.

Representations of Real and P-adic Groups

2004 Mathematics
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Release : 2004
Genre : Mathematics
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Book Rating : 508/5 ( reviews)

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Book Synopsis Representations of Real and P-adic Groups by : Eng-chye Tan

Download or read book Representations of Real and P-adic Groups written by Eng-chye Tan. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume collects the expanded lecture notes of thosetutorials. The topics covered include uncertainty principles forlocally compact abelian groups, fundamentals of representations of"p"-adic groups, the Harish?Chandra?Howe local characterexpansion, classification of the square-integrable representationsmodulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur?Weyl?Howe duality.

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