---

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

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2014]
Size	1 online resource (xiii, 338 pages)
Authors	*Tao, Terence 1975-
Subjects	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  All Subject Search FREE:Topological groups, Lie groups -- Lie groups -- Local Lie groups  All Subject Search FREE:Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groups  All Subject Search FREE:Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity  All Subject Search FREE:Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory  All Subject Search
Contents	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
Notes	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

 Similar Items