p-adic Banach Space Representations: With Applications to Principal Series

di Dubravka Ban (Autore)

Springer International Publishing AG, 2023

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.

• Autore: Dubravka Ban
• Editore: Springer International Publishing AG
• Collana: Lecture Notes in Mathematics
• Anno: 2023
• Rilegatura: Paperback / softback
• Pagine: 214 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783031226830

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