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Theory of Transformation Groups






Pub Date: 
Publisher:  Oxford University Press, Incorporated
Summary: 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 i...ncluded 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 differentiable 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.

Kawakubo, Katsuo is the author of Theory of Transformation Groups, published 1991 under ISBN 9780198532125 and 0198532121. Sixty four Theory of Transformation Groups textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $120.00, or buy new starting at $112.63.
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Theory of Transformation Groups

ISBN-13: 9780198532125

ISBN: 0198532121

Pub Date:
Publisher: Oxford University Press, Incorporated
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