p-Adic Lie Groups

Name: p-Adic Lie Groups
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642211461
Price: 2742 CZK
Availability: InStock

Autor: Peter Schneider

Jazyk:

Vazba: Pevná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: Skladem u dodavatele

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Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector f...

Informace o knize

Autor

Peter Schneider

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2011

Stránek

256

EAN

9783642211461

ISBN

3642211461

Enbook ID

05281313

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

552

Rozměry

241 x 166 x 23

Kompletní popis

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.

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p-Adic Lie Groups

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