The Theory of Transformation Groups

Name: The Theory of Transformation Groups
Brand: OUP Oxford
Availability: OutOfStock
Rating: 5 (1 reviews)

By Katsuo Kawakubo

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Description

This book presents 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 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 undergraduate degree 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 differential manifolds and Lie groups with particular emphasis on fibre bundles and characteristic classes. The latter half of 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.

Product details

Edition:: illustrated
Number of Pages:: 352
Release Date:: 1992-01-02
Publication Date:: 1991-11-28
Publisher:: OUP Oxford
Languages:: Original: English
ISBN10:: 0198532121
ISBN13:: 9780198532125
GPSR Manufacturer Reference:: [email protected]
Weight:: 722 g
Height:: 157 cm
Width:: 235 cm
Thickness:: 25 cm

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