p-Adic Lie Groups

p-Adic Lie Groups
Author :
Publisher : Springer
Total Pages : 256
Release :
ISBN-10 : 3642268668
ISBN-13 : 9783642268663
Rating : 4/5 (663 Downloads)

Book Synopsis p-Adic Lie Groups by : Peter Schneider

Download or read book p-Adic Lie Groups written by Peter Schneider and published by Springer. This book was released on 2013-08-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


p-Adic Lie Groups Related Books

p-Adic Lie Groups
Language: en
Pages: 256
Authors: Peter Schneider
Categories: Mathematics
Type: BOOK - Published: 2013-08-03 - Publisher: Springer

GET EBOOK

Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the ba
Lie Groups and Lie Algebras
Language: en
Pages: 486
Authors: Nicolas Bourbaki
Categories: Lie algebras
Type: BOOK - Published: 1989 - Publisher: Springer Science & Business Media

GET EBOOK

Representations of Real and P-adic Groups
Language: en
Pages: 426
Authors: Eng-chye Tan
Categories: Science
Type: BOOK - Published: 2004 - Publisher: World Scientific

GET EBOOK

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Representation Theory of Lie Groups? from July 200
Representations of Reductive p-adic Groups
Language: en
Pages: 297
Authors: Anne-Marie Aubert
Categories: Mathematics
Type: BOOK - Published: 2019-04-16 - Publisher: Springer

GET EBOOK

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey
p-Adic Lie Groups
Language: en
Pages: 259
Authors: Peter Schneider
Categories: Mathematics
Type: BOOK - Published: 2011-06-11 - Publisher: Springer Science & Business Media

GET EBOOK

Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the ba