p-adic Banach Space Representations : With Applications to Principal Series
1st ed. 2022
by
Dubravka Ban
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3031226836
ISBN-13
9783031226830
Edition
1st ed. 2022
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 12th, 2023
Print length
214 Pages
Weight
358 grams
Dimensions
16.30 x 30.20 x 2.00 cms
Product Classification:
Groups & group theoryGroups and group theoryNumber theory
Ksh 9,900.00
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This book systematically develops the theory of continuous representations on p-adic Banach spaces.
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.
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