| 书目名称 | p-adic Banach Space Representations |
| 副标题 | With Applications to |
| 编辑 | Dubravka Ban |
| 视频video | |
| 概述 | Provides numerous exercises for graduate students and readers interested in hands-on learning.Offers a comprehensive introduction to the representation theory of p-adic groups on p-adic Banach spaces. |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2022 |
| 关键词 | Admissible Representations; p-adic Banach Space Representations; Principal Series Representations; Schn |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-22684-7 |
| isbn_softcover | 978-3-031-22683-0 |
| isbn_ebook | 978-3-031-22684-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:22:31
