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Locally analytic vectors in representations of locally p-adic analytic groups /
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 rep...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
volume 248, no. 1175. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn993440754 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 170711t20172017riua ob 000 0 eng d | ||
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| 020 | |a 9781470440527 |q (online) | ||
| 020 | |a 1470440520 |q (online) | ||
| 020 | |z 9780821875629 |q (alk. paper) | ||
| 020 | |z 0821875620 |q (alk. paper) | ||
| 029 | 1 | |a AU@ |b 000062342860 | |
| 035 | |a (OCoLC)993440754 | ||
| 050 | 4 | |a QA241 |b .E54 2017 | |
| 082 | 0 | 4 | |a 512.7/4 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Emerton, Matthew, |e author. | |
| 245 | 1 | 0 | |a Locally analytic vectors in representations of locally p-adic analytic groups / |c Matthew Emerton. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (iv, 158 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 248, number 1175 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 248, number 1175 (first of 5 numbers), July 2017." | ||
| 504 | |a Includes bibliographical references (pages 157-158). | ||
| 505 | 0 | |a Cover; Title page; Introduction; 0.1. Locally analytic vectors and locally analytic representations; 0.2. The organization of the memoir; 0.3. Terminology, notation, and conventions; Chapter 1. Non-archimedean functional analysis; 1.1. Functional analytic preliminaries; 1.2. Fréchet-Stein algebras; Chapter 2. Non-archimedean function theory; 2.1. Continuous rigid analytic, and locally analytic functions; 2.2. Distributions; 2.3. Change of field; Chapter 3. Continuous, analytic, and locally analytic vectors; 3.1. Regular representations; 3.2. The orbit map and continuous vectors | |
| 505 | 8 | |a 3.3. Analytic vectors3.4. Analytic vectors continued; 3.5. Locally analytic vectors; 3.6. Analytic and locally analytic representations; Chapter 4. Smooth, locally finite, and locally algebraic vectors; 4.1. Smooth and locally finite vectors and representations; 4.2. Locally algebraic vectors and representations; Chapter 5. Rings of distributions; 5.1. Frobenius reciprocity and group rings of distributions; 5.2. Completions of universal enveloping algebras; 5.3. Rings of locally analytic distributions are Fréchet-Stein algebras; Chapter 6. Admissible locally analytic representations | |
| 505 | 8 | |a 6.1. Admissible locally analytic representations6.2. Strongly admissible locally analytic representations and admissible continuous representations; 6.3. Admissible smooth and admissible locally algebraic representations; 6.4. Essentially admissible locally analytic representations; 6.5. Invariant lattices; Chapter 7. Representations of certain product groups; 7.1. Strictly smooth representations; 7.2. Extensions of notions of admissibility for representations of certain product groups; Bibliography; Back Cover | |
| 520 | |a 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 memoi. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a p-adic analysis. | |
| 650 | 0 | |a p-adic groups. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 0 | |a Geometry, Analytic. | |
| 650 | 6 | |a Analyse p-adique. | |
| 650 | 6 | |a Groupes p-adiques. | |
| 650 | 6 | |a Représentations de groupes. | |
| 650 | 6 | |a Géométrie analytique. | |
| 650 | 7 | |a Geometry, Analytic |2 fast | |
| 650 | 7 | |a p-adic analysis |2 fast | |
| 650 | 7 | |a p-adic groups |2 fast | |
| 650 | 7 | |a Representations of groups |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780821875629 |w (DLC) 2017015822 |w (OCoLC)982436442 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v volume 248, no. 1175. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4940241 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445092 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4940241 | ||
| 938 | |a YBP Library Services |b YANK |n 14744565 | ||
| 994 | |a 92 |b IZTAP | ||