The Structure of Compact Groups : : A Primer for the Student – A Handbook for the Expert / / Sidney A. Morris, Karl H. Hofmann.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Hofmann, Karl H.,; Morris, Sidney A.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Edition: 4th revised and expanded edition
• Language: English
• Series: De Gruyter Studies in Mathematics , 25
• Physical Description: 1 online resource (XXVIII, 1006 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110695991; 9783110696288; 9783110696271; 9783110659061; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• ISSN: 0179-0986
• DOI: 10.1515/9783110695991
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sidney A. Morris, Karl H. Hofmann.

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.