p-adic Banach Space Representations: With Applications to Principal Series: 2325 (Lecture Notes in Mathematics, 2325) - Image 1

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Springer p-adic Banach Space Representations: With Applications to Principal Series: 2325 (Lecture Notes in Mathematics, 2325)

Name: p-adic Banach Space Representations: With Applications to Principal Series: 2325 (Lecture Notes in Mathematics, 2325)
Brand: Springer
Price: 54.99 GBP
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Algebra

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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.

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Brand: Springer
Format: paperback
ASIN: 3031226836
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 12 February 2023
Listed Since: 01 November 2022

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Springer p-adic Banach Space Representations: With Applications to Principal Series: 2325 (Lecture Notes in Mathematics, 2325)

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Springer p-adic Banach Space Representations: With Applications to Principal Series: 2325 (Lecture Notes in Mathematics, 2325)

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