The structure of compact groups A Primer for the Student - A Handbook for the Expert

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 li...

Full description

Bibliographic Details
Main Author: Hofmann, Karl H.
Other Authors: Morris, Sidney A.
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2023, ©2023
Edition:5th Edition
Series:De Gruyter studies in mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
LEADER 02579nmm a2200313 u 4500
001 EB002192074
003 EBX01000000000000001329539
005 00000000000000.0
007 cr|||||||||||||||||||||
008 240129 ||| eng
020 |a 978-3-11-117260-6 
020 |a 978-3-11-117405-1 
050 4 |a QA387 
100 1 |a Hofmann, Karl H. 
245 0 4 |a The structure of compact groups  |h Elektronische Ressource  |b A Primer for the Student - A Handbook for the Expert  |c Karl H. Hofmann, Sidney A. Morris 
250 |a 5th Edition 
260 |a Berlin ; Boston  |b De Gruyter  |c 2023, ©2023 
300 |a xli, 1032 pages 
505 0 |a 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 
653 |a Compact groups 
700 1 |a Morris, Sidney A. 
041 0 7 |a eng  |2 ISO 639-2 
989 |b GRUYMPG  |a DeGruyter MPG Collection 
490 0 |a De Gruyter studies in mathematics 
028 5 0 |a 10.1515/9783111172606 
776 |z 978-3-11-117163-0 
856 4 0 |u https://www.degruyter.com/document/doi/10.1515/9783111172606  |x Verlag  |3 Volltext 
082 0 |a 512 
520 3 |a 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.