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The structure of compact groups: a primer for the student, a handbook for the expert De Gruyter studies in mathematics ;, 25./ Karl H. Hofmann, Sidney A. Morris.
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| dc.contributor.author | Hofmann Karl Heinrich | |
| dc.contributor.author | Morris Sidney A., | |
| dc.date.accessioned | 2024-01-29T22:43:41Z | |
| dc.date.available | 2024-01-29T22:43:41Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Hofmann. The structure of compact groups: a primer for the student, a handbook for the expert De Gruyter studies in mathematics ;, 25.: 4th edition. - 1 online resource (xxvii, 1006 pages) : - URL: https://libweb.kpfu.ru/ebsco/pdf/2564825.pdf | |
| dc.identifier.isbn | 9783110695991 | |
| dc.identifier.isbn | 3110695995 | |
| dc.identifier.isbn | 9783110696011 | |
| dc.identifier.isbn | 3110696010 | |
| dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/181124 | |
| dc.description | In English. | |
| dc.description | Includes bibliographical references and indexes. | |
| dc.description.abstract | 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. | |
| dc.description.tableofcontents | 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 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | De Gruyter studies in mathematics, 0179-0986. volume 25 | |
| dc.relation.ispartofseries | De Gruyter studies in mathematics ;. 25. | |
| dc.subject.other | Compact groups. | |
| dc.subject.other | Abelian Groups. | |
| dc.subject.other | Category Theory. | |
| dc.subject.other | Lie algebra. | |
| dc.subject.other | Topological groups. | |
| dc.subject.other | compact groups. | |
| dc.subject.other | MATHEMATICS / Algebra / General. | |
| dc.subject.other | Compact groups | |
| dc.subject.other | Electronic books. | |
| dc.title | The structure of compact groups: a primer for the student, a handbook for the expert De Gruyter studies in mathematics ;, 25./ Karl H. Hofmann, Sidney A. Morris. | |
| dc.type | Book | |
| dc.description.pages | 1 online resource (xxvii, 1006 pages) : | |
| dc.collection | Электронно-библиотечные системы | |
| dc.source.id | EN05CEBSCO05C2542 |
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