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240129 ||| eng |
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|a 978-3-11-117260-6
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|a 978-3-11-117405-1
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|a QA387
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|a Hofmann, Karl H.
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|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
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250 |
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|a 5th Edition
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260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2023, ©2023
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|a xli, 1032 pages
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|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
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|a Compact groups
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|a Morris, Sidney A.
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|a eng
|2 ISO 639-2
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|b GRUYMPG
|a DeGruyter MPG Collection
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490 |
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|a De Gruyter studies in mathematics
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|a 10.1515/9783111172606
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|z 978-3-11-117163-0
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|u https://www.degruyter.com/document/doi/10.1515/9783111172606
|x Verlag
|3 Volltext
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|a 512
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|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.
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