Introduction to Compact Lie Groups Contributor(s): Fegan, Howard D. (Author) |
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ISBN: 9810236867 ISBN-13: 9789810236861 Publisher: World Scientific Publishing Company OUR PRICE: $28.50 Product Type: Paperback Published: July 1991 |
Additional Information |
BISAC Categories: - Mathematics |
Series: Series in Pure Mathematics |
Physical Information: 0.5" H x 6" W x 8.6" (0.65 lbs) 131 pages |
Descriptions, Reviews, Etc. |
Publisher Description: There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides a commentary on the computational work. Indeed, there are extensive computations of the structure and representation theory for the classical groups SU(n), SO(n) and Sp(n). A second exciting feature is that the differential geometry of a compact Lie group, both the classical curvature studies and the more recent heat equation methods, are treated. A large number of formulas for the connection and curvature are conveniently gathered together.This book provides an excellent text for a first course in compact Lie groups. |