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Hilbert's fifth problem and related topics / Terence Tao
(Graduate Studies in Mathematics ; v. 153)

出版者 Providence, Rhode Island : American Mathematical Society
出版年 [2014]
大きさ 1 online resource (xiii, 338 pages)
著者標目 *Tao, Terence 1975-
件 名 LCSH:Hilbert, David 1862-1943
LCSH:Lie groups
LCSH:Lie algebras
LCSH:Characteristic functions
FREE:Topological groups, Lie groups -- Locally compact groups and their algebras -- General properties and structure of locally compact groups  全ての件名で検索
FREE:Topological groups, Lie groups -- Lie groups -- Local Lie groups  全ての件名で検索
FREE:Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groups  全ての件名で検索
FREE:Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity  全ての件名で検索
FREE:Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory  全ての件名で検索
内容注記 Chapter 1. Introduction
Chapter 2. Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula
Chapter 3. Building Lie structure from representations and metrics
Chapter 4. Haar measure, the Peter-Weyl theorem, and compact or abelian groups
Chapter 5. Building metrics on groups, and the Gleason-Yamabe theorem
Chapter 6. The structure of locally compact groups
Chapter 7. Ultraproducts as a bridge between hard analysis and soft analysis
Chapter 8. Models of ultra approximate groups
Chapter 9. The microscopic structure of approximate groups
Chapter 10. Applications of the structural theory of approximate groups
Chapter 11. The Jordan-Schur theorem
Chapter 12. Nilpotent groups and nilprogressions
Chapter 13. Ado's theorem
Chapter 14. Associativity of the Baker-Campbell-Hausdorff-Dynkin law
Chapter 15. Local groups
Chapter 16. Central extensions of Lie groups, and cocycle averaging
Chapter 17. The Hilbert-Smith conjecture
Chapter 18. The Peter-Weyl theorem and nonabelian Fourier analysis
Chapter 19. Polynomial bounds via nonstandard analysis
Chapter 20. Loeb measure and the triangle removal lemma
Chapter 21. Two notes on Lie groups
一般注記 Includes bibliographical references (pages 329-333) and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2014
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/gsm/153 Information=Contents
HTTP:URL=https://doi.org/10.1090/gsm/153 Information=Contents
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Graduate studies in mathematics 9781470418564
電子リソース
EB00103078

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データ種別 電子ブック
分 類 LCC:QA387
DC23:512/.482
書誌ID 4000113073
ISBN 9781470418564

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