Lie Algebras and Locally Compact Groups
155 pages

51/4 x 8

© 1971
Contents
PREFACE
Chapter I. LIE ALGEBRAS
1. Definitions and examples
2. Solvable and nilpotent algebras
3. Semisimple 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 oneparameter 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 oneparameter subgroups
9. Proof that K is a neighborhood of 1
10. Approximation by NSS groups
11. Further developments
BIBLIOGRAPHY
INDEX
Chapter I. LIE ALGEBRAS
1. Definitions and examples
2. Solvable and nilpotent algebras
3. Semisimple 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 oneparameter 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 oneparameter subgroups
9. Proof that K is a neighborhood of 1
10. Approximation by NSS groups
11. Further developments
BIBLIOGRAPHY
INDEX
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