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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.
Produkteigenschaften
- Artikelnummer: 9783031226830
- Medium: Buch
- ISBN: 978-3-031-22683-0
- Verlag: Springer
- Erscheinungstermin: 12.02.2023
- Sprache(n): Englisch
- Auflage: 1. Auflage 2022
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 353 g
- Seiten: 214
- Format (B x H x T): 155 x 235 x 13 mm
- Ausgabetyp: Kein, Unbekannt