p-Adic Lie Groups (Record no. 107911)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04002nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-21147-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083803.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110610s2011 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642211478 |
| -- | 978-3-642-21147-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-21147-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA252.3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA387 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBG |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT014000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT038000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| Edition number | 23 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.482 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Schneider, Peter. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | p-Adic Lie Groups |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Peter Schneider. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 256 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
| International Standard Serial Number | 0072-7830 ; |
| Volume number/sequential designation | 344 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological Groups. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological Groups, Lie Groups. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Associative Rings and Algebras. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642211461 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
| -- | 0072-7830 ; |
| Volume number/sequential designation | 344 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-21147-8 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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