Kniha p-Adic Lie Groups Peter Schneider

p-Adic Lie Groups

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
119.67
Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector f...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2011
Stránok
256
EAN
9783642211461
ISBN
3642211461
Enbook ID
05281313
Hmotnosť
552
Rozmery
241 x 166 x 23

Kompletný 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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