| Introduction to Compact Lie Groups Contributor(s): Fegan, Howard D. (Author) |
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ISBN: 9810207026 ISBN-13: 9789810207021 Publisher: World Scientific Publishing Company OUR PRICE: $46.55 Product Type: Hardcover Published: July 1991 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear |
| Dewey: 512.55 |
| LCCN: 91026399 |
| Series: Pure Mathematics |
| Physical Information: 148 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. |