p-adic Banach Space Representations : With Applications to Principal Series / by Dubravka Ban.

Format:

Book

Author/Creator:

Ban, Dubravka., Author.

Contributor:

SpringerLink (Online service)

Series:

Mathematics and Statistics (SpringerNature-11649)

Lecture Notes in Mathematics, 1617-9692 ; 2325

Language:

English

Subjects (All):

Topological groups.

Lie groups.

Group theory.

Number theory.

Topological Groups and Lie Groups.

Group Theory and Generalizations.

Number Theory.

Local Subjects:

Topological Groups and Lie Groups.

Group Theory and Generalizations.

Number Theory.

Physical Description:

1 online resource (XII, 214 pages) : 1 illustrations

Edition:

1st ed. 2022.

Contained In:

Springer Nature eBook

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2022.

System Details:

text file PDF

Summary:

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.

Other Format:

Printed edition:

ISBN:

978-3-031-22684-7

9783031226847

Access Restriction:

Restricted for use by site license.