The Theory of Transformation Groups: Theory Transform by Katsuo Kawakubo

The Theory of Transformation Groups: Theory Transform

byKatsuo Kawakubo

Hardcover | April 30, 1999

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The aim of this book is to present an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first time. The emphasis is on the study of topological groups and, in particular, the study of compact Lie groups acting on manifolds.Throughout, much care is taken to illustrate concepts and results with examples and applications. Numerous exercises are also included to further extend a reader's understanding and knowledge. Prerequisites are a familiarity with algebra and topology as might have been acquired from an undergraduatedegree in Mathematics. The author begins by introducing the basic concepts of the subject such as fixed point sets, orbits, and induced transformation groups. Attention then turns to the study of differentiable manifolds and Lie groups with particular emphasis on fibre bundles and characteristic classes. The latter halfof the book is devoted to surveying the main themes of the subject: structure and decomposition theorems, the existence and uniqueness theorems of principal orbits, transfer theorems, and the Lefschetz fixed point theorem.

About The Author

Katsuo Kawakubo is at Osaka University.

Details & Specs

Title:The Theory of Transformation Groups: Theory TransformFormat:HardcoverDimensions:348 pages, 9.21 × 6.14 × 0.94 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198532121

ISBN - 13:9780198532125

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`The expressed aim of this book is to present an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first time. Undoubtedly, this aim has been achieved, and it is very likely that in years to come, the book will serve as aneasy to read textbook on topological transformation groups.'Deutschen Mathematiker-Vereinigung, Bd. 96, Heft 4