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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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      Book details

      Publisher The University of Chicago Press
      Published 27 February 1995
      ISBN-13 9780226424538
      978-0226424538
      ISBN-10 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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