The Structure of Compact Groups : A Primer for the Student - a Handbook for the Expert / Karl H. Hofmann and 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 Series ; Volume 25

Language:

English

Subjects (All):

Compact groups.

Physical Description:

1 online resource (1076 pages)

Edition:

Fifth edition.

Place of Publication:

Boston, Massachusetts : De Gruyter, [2023]

Summary:

This revised fifth edition serves as both a textbook for graduate courses and a reference for researchers who need to use the structure and representation theory of compact groups. Updates address the Bohr compactification of pro-Lie groups, the Lie Theory of Compact Groups with the Exponential Function, and recent work on the theory of weakly complete vector spaces applied to the structure theory of compact groups.

Contents:

Intro

Preface to the Fifth Edition

Highlights of the Structure Theory of Compact Groups

Preface to the Fourth Edition

Preface to the Second and Third Editions

Preface to the First Edition

Contents

Chapter 1. Basic Topics and Examples

Chapter 2. The Basic Representation Theory of Compact Groups

Chapter 3. The Ideas of Peter &amp

amp

Weyl, Tannaka, Hopf, &amp

Hochschild

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

De Gruyter Studies in Mathematics.

Notes:

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version: Hofmann, Karl H. The Structure of Compact Groups

ISBN:

9783111172606

3111172600

OCLC:

1408681982