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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
P-Adic Banach Space Representations: With Applications to Principal Series

P-Adic Banach Space Representations: With Applications to Principal Series

Ban, Dubravka

Paperback

Series: Lecture Notes in Mathematics, Book 2325

AlgebraGeneral Mathematics

ISBN10: 3031226836
ISBN13: 9783031226830
Publisher: Springer Nature
Published: Feb 12 2023
Pages: 214
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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.

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