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Lie Algebras and Locally Compact Groups

Irving Kaplansky
Publisher: 
University of Chicago Press
Publication Date: 
1995
Number of Pages: 
155
Format: 
Paperback
Series: 
Chicago Lectures in Mathematics Series
Price: 
30.00
ISBN: 
0-226-42453-7
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 PREFACE
Chapter I. LIE ALGEBRAS
1. Definitions and examples
2. Solvable and nilpotent algebras
3. Semi-simple algebras
4. Cartan subalgebras
5. Transition to a geometric problem
(characteristic 0)
6. The geometric classification
7. Transition to a geometric problem
(characteristic  p)
8. Transition to a geometric problem
(characteristic p), continued
Chapter II. THE STRUCTURE OF LOCALLY COMPACT GROUPS
1. NSS groups
2. Existence of one-parameter subgroups
3.  Differentiable  functions
4. Functions constructed from a single Q
5. Functions constructed from a sequence of Q's
6. Proof that i/n. is bounded
7. Existence of proper differentiable functions
8. The vector space of one-parameter subgroups
9. Proof that K is a neighborhood of 1
10. Approximation by NSS groups
11. Further developments
BIBLIOGRAPHY
INDEX

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