Skip to content

p-Adic Lie Groups
Stock Photo: Cover May Be Different

p-Adic Lie Groups Hardback -

by Peter Schneider

  • New
  • Hardcover

Description

Springer , pp. 268 . Hardback. New.
New
NZ$318.71
NZ$6.64 Shipping to USA
Standard delivery: 9 to 14 days
More Shipping Options
Ships from Cold Books (New York, United States)
The BIBLIO Guarantee | Ask Seller a Question

Details

  • Title p-Adic Lie Groups
  • Author Peter Schneider
  • Binding Hardback
  • Edition 1st
  • Condition New
  • Pages 256
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date pp. 268
  • Features Bibliography, Index, Table of Contents
  • Bookseller's Inventory # 63620228
  • ISBN 9783642211461 / 3642211461
  • Weight 1.1 lbs (0.50 kg)
  • Dimensions 9.2 x 6.3 x 0.8 in (23.37 x 16.00 x 2.03 cm)
  • Dewey Decimal Code 512.46

About Cold Books New York, United States

Biblio member since 2012
Seller rating: This seller has earned a 5 of 5 Stars rating from Biblio customers.

Terms of Sale: 30 day return guarantee, with full refund including shipping costs for up to 30 days after delivery if an item arrives misdescribed or damaged.

Browse books from Cold Books

From the publisher

Introduction.- Part A: p-Adic Analysis and Lie Groups.- I.Foundations.- I.1.Ultrametric Spaces.- I.2.Nonarchimedean Fields.- I.3.Convergent Series.- I.4.Differentiability.- I.5.Power Series.- I.6.Locally Analytic Functions.- II.Manifolds.- II.7.Charts and Atlases.- II.8.Manifolds.- II.9.The Tangent Space.- II.10.The Topological Vector Space C an(M, E), part 1.- II.11 Locally Convex K-Vector Spaces.- II.12 The Topological Vector Space C an(M, E), part 2.- III.Lie Groups.- III.13.Definitions and Foundations.- III.14.The Universal Enveloping Algebra.- III.15.The Concept of Free Algebras.- III.16.The Campbell-Hausdorff Formula.- III.17.The Convergence of the Hausdorff Series.- III.18.Formal Group Laws.- Part B: The Algebraic Theory of p-Adic Lie Groups.- IV.Preliminaries.- IV.19.Completed Group Rings.- IV.20.The Example of the Group Z d_p.- IV.21.Continuous Distributions.- IV.22.Appendix: Pseudocompact Rings.- V.p-Valued Pro-p-Groups.- V.23.p-Valuations.- V.24.The free Group on two Generators.- V.25.The Operator P.- V.26.Finite Rank Pro-p-Groups.- V.27.Compact p-Adic Lie Groups.- VI.Completed Group Rings of p-Valued Groups.- VI.28.The Ring Filtration.- VI.29.Analyticity.- VI.30.Saturation.- VII.The Lie Algebra.- VII.31.A Normed Lie Algebra.- VII.32.The Hausdorff Series.- VII.33.Rational p-Valuations and Applications.- VII.34.Coordinates of the First and of the Second Kind.- References.- Index.

From the rear cover

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.

Hang on… we’re fetching the requested page.