The structure of compact groups : a primer for the student - a handbook for the expert / Karl H. Hofmann, Sidney A. Morris.

Format:

Book

Author/Creator:

Hofmann, Karl Heinrich, author.

Morris, Sidney A., 1947- author.

Series:

De Gruyter studies in mathematics ; Volume 25.

De Gruyter studies in mathematics ; Volume 25

Language:

English

Subjects (All):

Compact groups.

Physical Description:

1 online resource (XXVIII, 1006 p.)

Edition:

Fourth edition.

Place of Publication:

[Place of publication not identified] : De Gruyter, [2013]

Language Note:

In English.

Summary:

This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.

Contents:

Frontmatter

Preface to the Fourth Edition

Preface to the Second and Third Editions

Preface to the First Edition

The Logical Dependence of the Contents

Contents

Chapter 1. Basic Topics and Examples

Chapter 2. The Basic Representation Theory of Compact Groups

Chapter 3. The Ideas of Peter and Weyl

Chapter 4. Characters

Chapter 5. Linear Lie Groups

Chapter 6. Compact Lie Groups

Chapter 7. Duality of Abelian Topological Groups

Chapter 8. Compact Abelian Groups

Chapter 9. The Structure of Compact Groups

Chapter 10. Compact Group Actions

Chapter 11. The Structure of Free Compact Groups

Chapter 12. Cardinal Invariants of Compact Groups

Appendix 1. Abelian Groups

Appendix 2. Covering Spaces and Groups

Appendix 3. A Primer of Category Theory

Appendix 4. Selected Results on Topology and Topological Groups

Appendix 5. Measures on Compact Groups

Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups

Appendix 7. Weakly Complete Vector Spaces and Algebras

References

Index of Symbols

Index

Notes:

Description based on print version record.

Includes bibliographical references and index.

Current Copyright Fee: GBP20.00 0.

ISBN:

9783110695991

3110695995

OCLC:

1157920716