The Theory of Transformation Groups

The Theory of Transformation Groups
Author :
Publisher : Oxford University Press on Demand
Total Pages : 338
Release :
ISBN-10 : 0198532121
ISBN-13 : 9780198532125
Rating : 4/5 (125 Downloads)

Book Synopsis The Theory of Transformation Groups by : Katsuo Kawakubo

Download or read book The Theory of Transformation Groups written by Katsuo Kawakubo and published by Oxford University Press on Demand. This book was released on 1991 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Theory of Transformation Groups Related Books

The Theory of Transformation Groups
Language: en
Pages: 338
Authors: Katsuo Kawakubo
Categories: Language Arts & Disciplines
Type: BOOK - Published: 1991 - Publisher: Oxford University Press on Demand

DOWNLOAD EBOOK

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 fir
Theory of Transformation Groups I
Language: en
Pages: 640
Authors: Sophus Lie
Categories: Mathematics
Type: BOOK - Published: 2015-03-12 - Publisher: Springer

DOWNLOAD EBOOK

This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual
Transformation Groups and Algebraic K-Theory
Language: en
Pages: 455
Authors: Wolfgang Lück
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in a
Transformation Groups
Language: en
Pages: 325
Authors: Tammo tom Dieck
Categories: Mathematics
Type: BOOK - Published: 2011-04-20 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Pro
Cohomological Methods in Transformation Groups
Language: en
Pages: 486
Authors: C. Allday
Categories: Mathematics
Type: BOOK - Published: 1993-07 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory