Carte p-Adic Lie Groups Peter Schneider

p-Adic Lie Groups

Limbă: engleză
Legare: Copertă tare
Disponibilitate: În depozitul extern
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663.59 lei
Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector f...

Informații despre carte

Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2011
Pagini
256
EAN
9783642211461
ISBN
3642211461
Enbook ID
05281313
Greutate
552
Dimensiuni
241 x 166 x 23

Descriere completă

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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