Overview
- First textbook with detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups
- Treats p-adic analysis in geometric language
- Includes a chapter on locally convex topology on spaces of locally analytic functions
- Includes supplementary material: sn.pub/extras
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 344)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
p-Adic Analysis and Lie Groups
-
Front Matter
-
-
$p$-adic analysis and Lie groups
-
The Algebraic Theory of p-Adic Lie Groups
-
Front Matter
-
-
The algebraic theory of $p$-adic Lie groups
-
Back Matter
Keywords
About this book
Reviews
From the reviews:
“The book is divided into two parts … . The author’s style of writing is elegant … . this is a demanding book, but a rewarding one … . any person who intends to work in this area will want to have it close at hand.” (Mark Hunacek, The Mathematical Gazette, Vol. 98 (541), March, 2014)
“This book presents the foundations of the theory of p-adic Lie groups in a systematic and self-contained way. … Schneider’s book on p-adic Lie groups systematically develops the analytic theory of p-adic Lie groups and also Lazard’s algebraic approach to p-adic Lie groups. It is highly recommended.” (Dubravka Ban, Mathematical Reviews, Issue 2012 h)
“The notion of a p-adic Lie group has been around for a while, but they have recently become more prominent in number theory and representation theory. … Schneider’s Grundlehren volume is an attempt to fill that gap by giving a systematic treatment of the subject. … this is a book to be welcomed and studied carefully by anyone who wants to learn about p-adic Lie theory.” (Fernando Q. Gouvêa, The Mathematical Association of America, August, 2011)
“The book thoroughly discusses the analytic aspects of p-adic manifolds and p-adic lie groups. … this clearly written book by Schneider will be very useful … to all those interested learning the basic theory of p-adic groups or about the completed group ring of a p-adic group with number theoretical applications in mind.” (Bala Sury, Zentralblatt MATH, Vol. 1223, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: p-Adic Lie Groups
Authors: Peter Schneider
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-642-21147-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-21146-1Published: 12 June 2011
Softcover ISBN: 978-3-642-26866-3Published: 03 August 2013
eBook ISBN: 978-3-642-21147-8Published: 11 June 2011
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 1
Number of Pages: XII, 256
Topics: Topological Groups, Lie Groups, Associative Rings and Algebras