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Author : Anonim
Publisher : Academic Press
Page : 458 pages
File Size : 49,5 Mb
Release : 1972-09-29
Category : Mathematics
ISBN : 0080873596
Introduction to Compact Transformation Groups
Author : Eldar Straume
Publisher : American Mathematical Soc.
Page : 76 pages
File Size : 41,9 Mb
Release : 1997
Category : Homology theory
ISBN : 9780821804834
In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group. Based on the geometric weight system classification of Part I, the possible orbit structures are determined, and the exotic G-spheres are constructed by equivariant twisting of the orthogonal models.
Author : Eldar Straume
Publisher : American Mathematical Soc.
Page : 93 pages
File Size : 46,8 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804094
This text is aimed at researchers studying Lie transformation groups.
Author : Edward G. Effros,Frank Hahn,Frank John Hahn
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 52,5 Mb
Release : 1967
Category : Algebras, Linear
ISBN : 9780821812754
Author : Bruce D. Evans
Publisher : American Mathematical Soc.
Page : 63 pages
File Size : 45,6 Mb
Release : 1982
Category : Mathematics
ISBN : 9780821822692
Author : H. T Ku,L. N Mann,J. L Sicks,J. C Su
Publisher : Springer
Page : 465 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540380634
Author : Tammo tom Dieck
Publisher : Springer
Page : 311 pages
File Size : 48,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540460367
Author : Anthony Bak,Masaharu Morimoto,Fumihiro Ushitaki
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 52,9 Mb
Release : 2002-07-31
Category : Mathematics
ISBN : 1402007833
This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
Author : C. Allday,V. Puppe
Publisher : Cambridge University Press
Page : 486 pages
File Size : 46,8 Mb
Release : 1993-07
Category : Mathematics
ISBN : 9780521350228
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 and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
Author : Czes Kosniowski
Publisher : Cambridge University Press
Page : 317 pages
File Size : 48,9 Mb
Release : 1977-02-17
Category : Mathematics
ISBN : 9780521215091
The theory of transformation groups studies symmetries of various mathematical objects such as topological spaces, manifolds, polyhedra and function spaces. It is thus a central concept in many branches of mathematics. This volume contains 25 of the papers submitted at the conference on transformation groups held at the University of Newcastle upon Tyne in August 1976.
Author : Katsuo Kawakubo
Publisher : Springer
Page : 406 pages
File Size : 40,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540461784
Author : Kraft
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461237020
In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.
Author : Stefan Jackowski,Krzysztof Pawalowski
Publisher : Springer
Page : 408 pages
File Size : 53,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540470977
Author : Katsuo Kawakubo,Professor Department of Mathematics Katsuo Kawakubo
Publisher : Oxford University Press on Demand
Page : 338 pages
File Size : 49,5 Mb
Release : 1991
Category : Language Arts & Disciplines
ISBN : 0198532121
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.
Author : Goutam Mukherjee
Publisher : Springer
Page : 140 pages
File Size : 42,7 Mb
Release : 2005-04-15
Category : Mathematics
ISBN : 9789386279309
Contributed lectures presented earlier at Winter School on Transformation Groups.
