Proceedings of the Conference on Transformation Groups

Proceedings of the Conference on Transformation Groups
Author: P. S. Mostert
Publisher: Springer Science & Business Media
Total Pages: 470
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642461417

These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.

Cohomological Methods in Transformation Groups

Cohomological Methods in Transformation Groups
Author: C. Allday
Publisher: Cambridge University Press
Total Pages: 486
Release: 1993-07
Genre: Mathematics
ISBN: 0521350220

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.

Current Trends in Transformation Groups

Current Trends in Transformation Groups
Author: Anthony Bak
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2002-07-31
Genre: Mathematics
ISBN: 9781402007835

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.

Group Actions on Manifolds

Group Actions on Manifolds
Author: Reinhard Schultz
Publisher: American Mathematical Soc.
Total Pages: 586
Release: 1985
Genre: Mathematics
ISBN: 0821850385

Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Polytopes and Symmetry

Polytopes and Symmetry
Author: Stewart A. Robertson
Publisher: Cambridge University Press
Total Pages: 138
Release: 1984-01-26
Genre: Mathematics
ISBN: 9780521277396

This book describes a fresh approach to the classification of of convex plane polygons and of convex polyhedra according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way.

Journées Arithmétiques 1980

Journées Arithmétiques 1980
Author: J. V. Armitage
Publisher: Cambridge University Press
Total Pages: 413
Release: 1982-09-16
Genre: Mathematics
ISBN: 0521285135

Covers all branches of number theory.

Markov Processes and Related Problems of Analysis

Markov Processes and Related Problems of Analysis
Author: Evgeniĭ Borisovich Dynkin
Publisher: Cambridge University Press
Total Pages: 325
Release: 1982-09-23
Genre: Mathematics
ISBN: 0521285127

The theory of Markov Processes has become a powerful tool in partial differential equations and potential theory with important applications to physics. Professor Dynkin has made many profound contributions to the subject and in this volume are collected several of his most important expository and survey articles. The content of these articles has not been covered in any monograph as yet. This account is accessible to graduate students in mathematics and operations research and will be welcomed by all those interested in stochastic processes and their applications.

Solitons

Solitons
Author: P. G. Drazin
Publisher: Cambridge University Press
Total Pages: 149
Release: 1983-07-21
Genre: Mathematics
ISBN: 0521274222

A 'soliton' is a localized nonlinear wave of permanent form which may interact strongly with other solitons so that when they separate after the interaction they regain their original forms. This textbook is an account of the theory of solitons and of the diverse applications of the theory to nonlinear systems arising in the physical sciences. The essence of the book is an introduction to the method of inverse scattering. Solitary waves, cnoidal waves, conservation laws, the initial-value problem for the Korteweg-de Vries equation, the Lax method, the sine-Gordon equation and Backlund transformations are treated. The book will be useful for research workers who wish to learn about solitons as well as graduate students in mathematics, physics and engineering.

Commutative Algebra

Commutative Algebra
Author: R. Y. Sharp
Publisher: Cambridge University Press
Total Pages: 265
Release: 1982
Genre: Mathematics
ISBN: 0521271258

This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.