ISBN-10:
0226424537
ISBN-13:
9780226424538
Pub. Date:
02/28/1995
Publisher:
University of Chicago Press
Lie Algebras and Locally Compact Groups

Lie Algebras and Locally Compact Groups

by Irving Kaplansky

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Product Details

ISBN-13: 9780226424538
Publisher: University of Chicago Press
Publication date: 02/28/1995
Series: Chicago Lectures in Mathematics Series
Edition description: A reprint in soft cover
Pages: 155
Product dimensions: 5.25(w) x 8.00(h) x 0.50(d)

About the Author

Irving Kaplansky is Director Emeritus of the Mathematical Sciences Research Institute and George Herbert Mead Distinguished Professor Emeritus in the Department of Mathematics at the University of Chicago.

Table of Contents

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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