This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.
- English
- ePUB (mobile friendly)
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eBook - ePub
About this book
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.
Information
Table of contents
- Cover
- Front Matter
- 1. Introduction
- Part I. Banach Space Representations of p-adic Lie Groups
- Part II. Principal Series Representations of Reductive Groups
- Back Matter
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Yes, you can access p-adic Banach Space Representations by Dubravka Ban in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over 1.5 million books available in our catalogue for you to explore.