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Lie Algebras and Locally Compact Groups

Publisher: 
University of Chicago Press
Number of Pages: 
155
Price: 
30.00
ISBN: 
0-226-42453-7
Date Received: 
Tuesday, February 1, 2005
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Irving Kaplansky
Series: 
Chicago Lectures in Mathematics Series
Publication Date: 
1995
Format: 
Paperback
Category: 
Monograph
Tags: 
BLL
06/16/2009
BLL Rating: 

 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

Publish Book: 
Modify Date: 
Tuesday, June 16, 2009

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