Introduction to Compact Transformation Groups PDF Download

Author:
Publisher: Academic Press
ISBN: 0080873596
Category : Mathematics
Languages : en
Pages : 477

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Introduction to Compact Transformation Groups

Author: Deane Montgomery
Publisher: Courier Dover Publications
ISBN: 0486824497
Category : Mathematics
Languages : en
Pages : 305

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Originally published: New York: Interscience Publishers, Inc., 1955. An unabridged republication of: Huntington, New York: Robert E. Krieger Publishing Company, 1974.

Author: Edward G. Effros
Publisher: American Mathematical Soc.
ISBN: 0821812750
Category : Algebras, Linear
Languages : en
Pages : 99

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Author: H. T Ku
Publisher: Springer
ISBN: 3540380639
Category : Mathematics
Languages : en
Pages : 465

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Author: H.T. Ku
Publisher:
ISBN:
Category : Amherst, MA
Languages : en
Pages : 327

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Author: Shoshichi Kobayashi
Publisher: Springer Science & Business Media
ISBN: 3642619819
Category : Mathematics
Languages : en
Pages : 192

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Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.

Author: Armand Borel
Publisher: Princeton University Press
ISBN: 0691090947
Category : Mathematics
Languages : en
Pages : 260

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Armond Borel’s influential seminar on transformation groups from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Author: Wolfgang Lück
Publisher: Springer
ISBN: 3540468277
Category : Mathematics
Languages : en
Pages : 455

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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.

Author: Robert Ellis
Publisher:
ISBN:
Category : Transformation groups
Languages : en
Pages : 16

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Author: A. L. Onishchik
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 324

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