Lie Algebras and Locally Compact Groups (Lectures in Mathematics) (Chicago Lectures in Mathematics Series CLM (CHUP))

by Irving Kaplansky

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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.
  • ISBN10 0226424537
  • ISBN13 9780226424538
  • Publish Date 27 February 1995
  • Publish Status Active
  • Publish Country US
  • Imprint University of Chicago Press