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Hilbert's fifth problem and related topics / Terence Tao.
Connect to full text Available online
View online- Format:
- Book
- Author/Creator:
- Tao, Terence, 1975-
- Series:
- Graduate studies in mathematics ; v. 153.
- Graduate Studies in Mathematics ; v. 153
- Language:
- English
- Subjects (All):
- Hilbert, David, 1862-1943.
- Hilbert, David.
- Lie groups.
- Lie algebras.
- Characteristic functions.
- Physical Description:
- 1 online resource (xiii, 338 pages).
- Other Title:
- Graduate Studies in Mathematics.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2014]
- System Details:
- Mode of access : World Wide Web
- text file
- 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.
- Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
- Description based on print version record.
- Other Format:
- Print version: Tao, Terence, 1975- Hilbert's fifth problem and related topics /
- ISBN:
- 9781470418564
- Access Restriction:
- Restricted for use by site license.
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