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p-Adic Lie Groups

Language EnglishEnglish
Book Hardback
Book p-Adic Lie Groups Peter Schneider
Libristo code: 05281313
Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector f... Full description
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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.

About the book

Full name p-Adic Lie Groups
Language English
Binding Book - Hardback
Date of issue 2011
Number of pages 256
EAN 9783642211461
ISBN 3642211461
Libristo code 05281313
Weight 552
Dimensions 241 x 166 x 23
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