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Hilbert's fifth problem and related ...

Tao, Terence, (1975-)

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Hilbert's fifth problem and related topics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hilbert's fifth problem and related topics // Terence Tao.
作者:	Tao, Terence,
面頁冊數:	1 online resource (xiii, 338 pages)
標題:	Lie groups. -
電子資源:	http://www.ams.org/gsm/153
電子資源:	https://doi.org/10.1090/gsm/153
ISBN:	9781470418564 (online)

Hilbert's fifth problem and related topics /
Tao, Terence,1975-

Hilbert's fifth problem and related topics /[electronic resource] Terence Tao. - 1 online resource (xiii, 338 pages) - Graduate Studies in Mathematics, v. 153.

Includes bibliographical references (pages 329-333) and index.

Chapter 1. Introduction

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014

Mode of access : World Wide Web

ISBN: 9781470418564 (online)Subjects--Personal Names:

532610
Hilbert, David,
1862-1943.Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .T36 2014

Dewey Class. No.: 512/.482

Hilbert's fifth problem and related topics /
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245 1 0 $a Hilbert's fifth problem and related topics / $h [electronic resource] $c Terence Tao.
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300 $a 1 online resource (xiii, 338 pages)
336 $a text $2 rdacontent
337 $a unmediated $2 rdamedia
338 $a volume $2 rdacarrier
490 0 $a Graduate Studies in Mathematics, $v v. 153
504 $a Includes bibliographical references (pages 329-333) and index.
505 0 0 $t Chapter 1. Introduction $t Chapter 2. Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula $t Chapter 3. Building Lie structure from representations and metrics $t Chapter 4. Haar measure, the Peter-Weyl theorem, and compact or abelian groups $t Chapter 5. Building metrics on groups, and the Gleason-Yamabe theorem $t Chapter 6. The structure of locally compact groups $t Chapter 7. Ultraproducts as a bridge between hard analysis and soft analysis $t Chapter 8. Models of ultra approximate groups $t Chapter 9. The microscopic structure of approximate groups $t Chapter 10. Applications of the structural theory of approximate groups $t Chapter 11. The Jordan-Schur theorem $t Chapter 12. Nilpotent groups and nilprogressions $t Chapter 13. Ado's theorem $t Chapter 14. Associativity of the Baker-Campbell-Hausdorff-Dynkin law $t Chapter 15. Local groups $t Chapter 16. Central extensions of Lie groups, and cocycle averaging $t Chapter 17. The Hilbert-Smith conjecture $t Chapter 18. The Peter-Weyl theorem and nonabelian Fourier analysis $t Chapter 19. Polynomial bounds via nonstandard analysis $t Chapter 20. Loeb measure and the triangle removal lemma $t Chapter 21. Two notes on Lie groups
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2014
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
600 1 0 $a Hilbert, David, $d 1862-1943. $3 532610
650 0 $a Lie groups. $3 526114
650 0 $a Lie algebras. $3 526115
650 0 $a Characteristic functions. $3 705010
650 7 $a Topological groups, Lie groups -- Locally compact groups and their algebras -- General properties and structure of locally compact groups. $2 msc $3 3775484
650 7 $a Topological groups, Lie groups -- Lie groups -- Local Lie groups. $2 msc $3 3775485
650 7 $a Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groups. $2 msc $3 3775486
650 7 $a Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity. $2 msc $3 3775487
650 7 $a Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory. $2 msc $3 3775488
776 0 $i Print version: $a Tao, Terence, 1975- $t Hilbert's fifth problem and related topics / $w (DLC) 2014009022 $x 1065-7339 $z 9781470415648
856 4 $3 Contents $u http://www.ams.org/gsm/153
856 4 $3 Contents $u https://doi.org/10.1090/gsm/153