current trends in transformation groups

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Current Trends In Transformation Groups

Author : Anthony Bak
ISBN : 1402007833
Genre : Mathematics
File Size : 36. 9 MB
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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.

Transformation Groups Poznan 1985

Author : Stefan Jackowski
ISBN : 9783540470977
Genre : Mathematics
File Size : 24. 24 MB
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Transformation Groups

Author : Goutam Mukherjee
ISBN : 9789386279309
Genre : Mathematics
File Size : 35. 9 MB
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Contributed lectures presented earlier at Winter School on Transformation Groups.

Group Actions On Manifolds

Author : Reinhard Schultz
ISBN : 9780821850381
Genre : Mathematics
File Size : 37. 11 MB
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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.

Algebraic Topology And Transformation Groups

Author : Tammo tom Dieck
ISBN : 9783540460367
Genre : Mathematics
File Size : 21. 77 MB
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The Group Of Orbit Preserving G Homeomorphisms Of An Equivariant Simplex For G A Lie Group

Author : Roman Goebel
ISBN : 9514109767
Genre : Homotopy equivalences
File Size : 32. 61 MB
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Mathematical Reviews

Author :
ISBN : UOM:39015058562359
Genre : Mathematics
File Size : 60. 64 MB
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Pure And Applied Mathematics Quarterly

Author :
ISBN : UOM:39015058989024
Genre : Mathematics
File Size : 36. 76 MB
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Developments And Trends In Infinite Dimensional Lie Theory

Author : Karl-Hermann Neeb
ISBN : 0817647414
Genre : Mathematics
File Size : 26. 10 MB
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This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.

Transformation Groups And Algebraic K Theory

Author : Wolfgang Lück
ISBN : 3540518460
Genre : Mathematics
File Size : 36. 7 MB
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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 an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.

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