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＜E-Book＞
p-adic Banach Space Representations : With Applications to Principal Series / by Dubravka Ban
(Lecture Notes in Mathematics. ISSN:16179692 ; 2325)

Edition	1st ed. 2022.
Publisher	(Cham : Springer Nature Switzerland : Imprint: Springer)
Year	2022
Language	English
Size	XII, 214 p. 1 illus : online resource
Authors	*Ban, Dubravka author SpringerLink (Online service)
Subjects	LCSH:Topological groups LCSH:Lie groups LCSH:Group theory LCSH:Number theory FREE:Topological Groups and Lie Groups FREE:Group Theory and Generalizations FREE:Number Theory
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-031-22684-7

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