Lie Algebras and Locally Compact Groups

Name: Lie Algebras and Locally Compact Groups
Price: 8.85 USD
Availability: InStock
ISBN: 9780226424538

ISBN-10: 0226424537

ISBN-13: 9780226424538

Edition: 1971

Authors: Irving Kaplansky

List price: $49.00

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Description:

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.

Book details

List price: $49.00
Copyright year: 1971
Publisher: University of Chicago Press
Publication date: 2/27/1995
Binding: Paperback
Pages: 155
Size: 0.54" wide x 0.80" long x 0.04" tall
Weight: 0.440
Language: English



Preface



Lie Algebras



Definitions and examples



Solvable and nilpotent algebras



Semi-simple algebras



Cartan subalgebras



Transition to a geometric problem (characteristic 0)



The geometric classification



Transition to a geometric problem (characteristicnbsp; p)



Transition to a geometric problem (characteristic p), continued



The Structure of Locally Compact Groups



NSS groups



Existence of one-parameter subgroups



Differentiablenbsp; functions



Functions constructed from a single Q



Functions constructed from a sequence of Q's



Proof that i/n. is bounded



Existence of proper differentiable functions



The vector space of one-parameter subgroups



Proof that K is a neighborhood of 1



Approximation by NSS groups



Further developments


Bibliography


Index