Current Trends In Transformation Groups

Author : Anthony Bak,Masaharu Morimoto,Fumihiro Ushitaki
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 46,8 Mb
Release : 2002-07-31
Category : Mathematics
ISBN : 1402007833

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Current Trends in Transformation Groups by Anthony Bak,Masaharu Morimoto,Fumihiro Ushitaki Pdf

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 : Goutam Mukherjee
Publisher : Springer
Page : 140 pages
File Size : 51,8 Mb
Release : 2005-04-15
Category : Mathematics
ISBN : 9789386279309

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Transformation Groups by Goutam Mukherjee Pdf

Contributed lectures presented earlier at Winter School on Transformation Groups.

Author : Stefan Jackowski,Krzysztof Pawalowski
Publisher : Springer
Page : 408 pages
File Size : 52,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540470977

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Transformation Groups Poznan 1985 by Stefan Jackowski,Krzysztof Pawalowski Pdf

Author : Katsuo Kawakubo
Publisher : Springer
Page : 406 pages
File Size : 53,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540461784

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Transformation Groups by Katsuo Kawakubo Pdf

Author : Demeter Krupka,David Saunders
Publisher : Elsevier
Page : 1243 pages
File Size : 45,9 Mb
Release : 2011-08-11
Category : Mathematics
ISBN : 9780080556734

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Handbook of Global Analysis by Demeter Krupka,David Saunders Pdf

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

Author : Reinhard Schultz
Publisher : American Mathematical Soc.
Page : 568 pages
File Size : 44,9 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821850381

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Group Actions on Manifolds by Reinhard Schultz Pdf

Not merely an account of new results, this book is also a guide to motivation behind present work and potential future developments. Readers can obtain an overall understanding of the sorts of problems one studies in group actions and the methods used to study such problems. The book will be accessible to advanced graduate students who have had the equivalent of three semesters of graduate courses in topology; some previous acquaintance with the fundamentals of transformation groups is also highly desirable. The articles in this book are mainly based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado. A major objective was to provide an overall account of current knowledge in transformation groups; a number of survey articles describe the present state of the subject from several complementary perspectives. The book also contains some research articles, generally dealing with results presented at the conference. Finally, there is a discussion of current problems on group actions and an acknowledgment of the work and influence of D. Montgomery on the subject.

Author : Nail H Ibragimov
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 50,9 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9789814460866

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Transformation Groups and Lie Algebras by Nail H Ibragimov Pdf

This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Author : Anonim
Publisher : Unknown
Page : 1596 pages
File Size : 40,7 Mb
Release : 2003
Category : Mathematics
ISBN : UVA:X006180631

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Mathematical Reviews by Anonim Pdf

Author : C. Allday,V. Puppe
Publisher : Cambridge University Press
Page : 486 pages
File Size : 45,6 Mb
Release : 1993-07
Category : Mathematics
ISBN : 9780521350228

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Cohomological Methods in Transformation Groups by C. Allday,V. Puppe Pdf

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 : Winfried Bruns,Joseph Gubeladze
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 48,7 Mb
Release : 2009-06-12
Category : Mathematics
ISBN : 9780387763569

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Polytopes, Rings, and K-Theory by Winfried Bruns,Joseph Gubeladze Pdf

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

Author : Jonathan A. Barmak
Publisher : Springer
Page : 170 pages
File Size : 44,9 Mb
Release : 2011-08-24
Category : Mathematics
ISBN : 9783642220036

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Algebraic Topology of Finite Topological Spaces and Applications by Jonathan A. Barmak Pdf

This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillen's conjecture on the poset of p-subgroups of a finite group and the Andrews-Curtis conjecture on the 3-deformability of contractible two-dimensional complexes. This self-contained work constitutes the first detailed exposition on the algebraic topology of finite spaces. It is intended for topologists and combinatorialists, but it is also recommended for advanced undergraduate students and graduate students with a modest knowledge of Algebraic Topology.

Author : Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava
Publisher : Springer Nature
Page : 912 pages
File Size : 43,6 Mb
Release : 2019-08-23
Category : Mathematics
ISBN : 9783030152420

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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava Pdf

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

Author : Claudio Procesi
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 44,6 Mb
Release : 2007-10-17
Category : Mathematics
ISBN : 9780387289298

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Lie Groups by Claudio Procesi Pdf

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

Author : Tammo tom Dieck
Publisher : Springer
Page : 311 pages
File Size : 46,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540460367

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Algebraic Topology and Transformation Groups by Tammo tom Dieck Pdf

Author : H. Omori
Publisher : Springer
Page : 165 pages
File Size : 45,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372950

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Infinite Dimensional Lie Transformation Groups by H. Omori Pdf