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p-adic Banach space representations : with applications to principal series / by Dubravka Ban

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Lecture notes in mathematics ; 2325Publisher: Cham : Springer Nature Switzerland, 2022Publisher: Cham : Imprint: Springer, 2022Edition: 1st ed. 2022Description: 1 Online-Ressource(XII, 216 p.)ISBN:
  • 9783031226847
Subject(s): Additional physical formats: 9783031226830 | 9783031226854 | Erscheint auch als: 9783031226830 Druck-Ausgabe | Erscheint auch als: 9783031226854 Druck-Ausgabe | Erscheint auch als: p-adic Banach space representations. Druck-Ausgabe Cham : Springer, 2022. xii, 214 SeitenDOI: DOI: 10.1007/978-3-031-22684-7Online resources: Summary: 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.PPN: PPN: 1835095100Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS | ZDB-2-LNM
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