Lectures on Lie Groups

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University of Chicago Press, 1982 - Mathematics - 182 pages
"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."—Irving Kaplansky
 

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Beautiful book. Reads like a novel. If you're a mathematician, anyway.

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Contents

BASIC DEFINITIONS
3
ONEPARAMETER SUBGROUPS THE EXPONENTIAL MAP ETC
9
ELEMENTARY REPRESENTATION THEORY
24
MAXIMAL TORI IN LIE GROUPS
81
GEOMETRY OF THE STIEFEL DIAGRAM
103
REPRESENTATION THEORY
144
REPRESENTATIONS OF THE CLASSICAL GROUPS
167
REFERENCES
182
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