Hilbert's fifth problem and related topics / Terence Tao.
Material type:
TextSeries: Graduate studies in mathematics ; v 153.Publication details: Providence : American Mathematical Society, c2014.Description: xiii, 338 p. ; 27 cmISBN: - 9781470415648 (hbk : alk. paper)
- 512.482 23 T171
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.482 T171 (Browse shelf(Opens below)) | Available | 136354 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
| No cover image available | ||||||||
| 512.482 K45 Geometry of infinite-dimensional groups | 512.482 K45 Quantum Lie theory : | 512.482 R869 Symmetric spaces and the Kashiwara-Vergne method / | 512.482 T171 Hilbert's fifth problem and related topics / | 512.482 T171 Expansion in finite simple groups of Lie type / | 512.482 W926 Thin groups and superstrong approximation / | 512.5 Cohomology of Vector Bundles and Syzygies |
Includes bibliographical references and index.
1. Introduction --
2. Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula --
3. Building Lie structure from representations and metrics --
4. Haar measure, the Peter-Weyl theorem, and compact or abelian groups --
5. Building metrics on groups, and the Gleason-Yamabe theorem --
6. The structure of locally compact groups --
7. Ultraproducts as a bridge between hard analysis and soft analysis --
8. Models of ultra approximate groups --
9. The microscopic structure of approximate groups --
10. Applications of the structural theory of approximate groups --
11. The Jordan-Schur theorem --
12. Nilpotent groups and nilprogressions --
13. Ado's theorem --
14. Associativity of the Baker-Campbell-Hausdorff-Dynkin law --
15. Local groups --
16. Central extensions of Lie groups, and cocycle averaging --
17. The Hilbert-Smith conjecture --
18. The Peter-Weyl theorem and nonabelian Fourier analysis --
19. Polynomial bounds via nonstandard analysis --
20. Loeb measure and the triangle removal lemma --
21. Two notes on Lie groups--
Bibliography--
Index.
There are no comments on this title.
