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Item Details
| Title:
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MATRIX GROUPS
AN INTRODUCTION TO LIE GROUP THEORY |
| By: |
Andrew Baker |
| Format: |
Paperback |
| List price:
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£29.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1852334703 |
| ISBN 13: |
9781852334703 |
| Publisher: |
SPRINGER LONDON LTD |
| Pub. date: |
6 December, 2001 |
| Edition: |
1st Corrected ed. 2002. Corr. 2nd printing 2003 |
| Series: |
Springer Undergraduate Mathematics Series |
| Pages: |
341 |
| Description: |
Covers the theory of Lie groups, focusing on matrix groups: closed subgroups of real and complex general linear groups. This book studies examples and describes classical families of simply connected compact groups. It introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. |
| Synopsis: |
Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter. The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups.The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions. Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry. |
| Illustrations: |
biography |
| Publication: |
UK |
| Imprint: |
Springer London Ltd |
| Returns: |
Returnable |
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