The Structure of Compact Groups: A Primer for the Student - A Handbook for the Expert (Degruyter Studies in Mathematics) - Hardcover

Hofmann, Karl Heinrich; Morris, Sidney A.

Hardcover

ISBN 10: 3110152681 ISBN 13: 9783110152685

Publisher: De Gruyter, 1868

Synopsis

The theme of this book is the Structure Theory of compact groups. It contains a completely self-contained introduction to linear Lie groups and a substantial body of material on compact Lie groups. The authors' approach is distinctive in so far as they define a linear Lie group as a particular subgroup of the multiplicative group of a Banach algebra. Compact Lie groups are recognized at an early stage as being linear Lie groups. This approach avoids the use of machinery on manifolds.

The text is written in a style to make it accessible to the beginning graduate student with a basic knowledge in analysis, algebra, and topology. At the same time the expert will find it an excellent and rich source of information on the general structure theory of compact groups.

About this title

About the Author

Karl H. Hofmann, TU Darmstadt, Germany; Sidney A. Morris, University of Ballarat, Australien.

Review

"Thus, the book is informative and carefully written; the exposition is fresh and excellent. It can be useful for students as well as for experts and will meet, as well as the first edition, a wide audience."Victor Gichev in: Zentralblatt MATH 17/2008

Edition details

• Publisher: De Gruyter
• Publication date: 1868
• Language: English
• ISBN 10: 3110152681
• ISBN 13: 9783110152685
• Binding: Hardcover
• Number of pages: 835