The Structure of Compact Groups
A Primer for the Student - A Handbook for the Expert
4th Edition
Published on 8. June 2020
XXVIII, 1006 pages
978-3-11-069599-1 (ISBN)
Description
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.
More details
Series
Edition
4th revised and expanded edition
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Edition type
Revised edition
Illustrations
3 Abbildungen, 2 s/w Tabellen
3 ill., 2 tbl.
File size
4,76 MB
ISBN-13
978-3-11-069599-1 (9783110695991)
Schweitzer Classification
Other editions
New editions
Karl H. Hofmann | Sidney A. Morris
The Structure of Compact Groups
A Primer for the Student - A Handbook for the Expert
E-Book
10/2023
5th Edition
De Gruyter
€240.00
Available for download
Additional editions
Karl H. Hofmann | Sidney A. Morris
The Structure of Compact Groups
A Primer for the Student - A Handbook for the Expert
Book
06/2020
4th Edition
De Gruyter
€300.00
Article exhausted; check for reprint
Previous edition
Karl H. Hofmann | Sidney A. Morris
The Structure of Compact Groups
A Primer for the Student - A Handbook for the Expert
E-Book
08/2013
3rd Edition
De Gruyter
€194.95
Available for download
Persons
Karl H. Hofmann
, TU Darmstadt, Germany, Tulane University, USA;
Sidney A. Morris
, University of Ballarat, LaTrobe University, Australia
Content
- Intro
- 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
