Hilbert's fifth problem and related topics / Terence Tao.

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Bibliographic Details
Main Author: Tao, Terence, 1975-
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2014]
Series:Graduate studies in mathematics ; v. 153.
Subjects:
Physical Description:xiii, 338 pages : illustration ; 26 cm.
Format: Book

MARC

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100 1 |a Tao, Terence,  |d 1975-  |0 http://id.loc.gov/authorities/names/nr96033717 
245 1 0 |a Hilbert's fifth problem and related topics /  |c Terence Tao. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2014] 
264 4 |c ©2014 
300 |a xiii, 338 pages :  |b illustration ;  |c 26 cm. 
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337 |a unmediated  |b n  |2 rdamedia 
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490 1 |a Graduate studies in mathematics ;  |v volume 153 
504 |a Includes bibliographical references and index. 
505 0 |a Introduction -- Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula -- Building Lie structure from representations and metrics -- Haar measure, the Peter-Weyl theorem, and compact or abelian groups -- Building metrics on groups, and the Gleason-Yamabe theorem -- The structure of locally compact groups -- Ultraproducts as a bridge between hard analysis and soft analysis -- Models of ultra approximate groups -- The microscopic structure of approximate groups -- Applications of the structural theory of approximate groups -- The Jordan-Schur theorem -- Nilpotent groups and nilprogressions -- Ado's theorem -- Associativity of the Baker-Campbell-Hausdorff-Dynkin law -- Local groups -- Central extensions of Lie groups, and cocycle averaging -- The Hilbert-Smith conjecture -- The Peter-Weyl theorem and nonabelian Fourier analysis -- Polynomial bounds via nonstandard analysis -- Loeb measure and the triangle removal lemma -- Two notes on Lie groups. 
600 1 0 |a Hilbert, David,  |d 1862-1943.  |0 http://id.loc.gov/authorities/names/n50034850.  |0 http://id.loc.gov/authorities/names/n50034850 
650 0 |a Lie groups.  |0 http://id.loc.gov/authorities/subjects/sh85076786.  |0 http://id.loc.gov/authorities/subjects/sh85076786 
650 0 |a Lie algebras.  |0 http://id.loc.gov/authorities/subjects/sh85076782.  |0 http://id.loc.gov/authorities/subjects/sh85076782 
650 0 |a Characteristic functions.  |0 http://id.loc.gov/authorities/subjects/sh85052333.  |0 http://id.loc.gov/authorities/subjects/sh85052333 
830 0 |a Graduate studies in mathematics ;  |v v. 153.  |0 http://id.loc.gov/authorities/names/n92111274.  |0 http://id.loc.gov/authorities/names/n92111274 
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