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.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 344 |
Release date: |
June 2011 |
First published: |
2011 |
Authors: |
Peter Schneider
|
Dimensions: |
235 x 155 x 23mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
256 |
Edition: |
2011 Ed. |
ISBN-13: |
978-3-642-21146-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
3-642-21146-1 |
Barcode: |
9783642211461 |
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