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Lie Algebras and Locally Compact Groups
by Irving Kaplansky
University of Chicago Press, 1971
Paper: 978-0-226-42453-8
Library of Congress Classification QA251.K318
Dewey Decimal Classification 512.55

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ABOUT THIS BOOK
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.

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