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商品詳細
p-adic Banach Space Representations : With Applications to Principal Series. 1st ed. 2022.
・ISBN 978-3-031-22683-0 paper EUR 59.99
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| 著者・編者 | Ban, Dubravka, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 214 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1956＞ |
解説
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.
This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.