ENGLISH

p-adic Lie groups

By Peter Schneider (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
3642211461, 9783642211461
DOI
10.1007/978-3-642-21147-8
Language
english
Format
PDF
Filesize
2 MB (2209858 bytes)
Series
Grundlehren der mathematischen Wissenschaften 344
Edition
1
Pages
256\258
Orientation
no
Scanned
no
Time added
2012-02-04 16:00:00
Lie Groups; Associative Rings and AlgebrasTopological Groups

Description

Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings.

Similar books