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Book Synopsis
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.

Lie Algebras and Locally Compact Groups Chicago

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    A Paperback / softback by Irving Kaplansky

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      Publisher: The University of Chicago Press
      Publication Date: 27/02/1995
      ISBN13: 9780226424538, 978-0226424538
      ISBN10: 0226424537
      Also in:
      Mathematics Groups and group theory Topology

      Description

      Book Synopsis
      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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