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...

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Bibliographic Details
Main Author: Hofmann, Karl Heinrich
Other Authors: Morris, Sidney A., 1947-
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter, [2020]
Edition:4th edition.
Series:De Gruyter studies in mathematics ; 25.
Subjects:
Online Access:EBSCOhost
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100 1 |a Hofmann, Karl Heinrich,  |9 521600 
245 1 4 |a The structure of compact groups  |b a primer for the student, a handbook for the expert  |c Karl H. Hofmann, Sidney A. Morris. 
250 |a 4th edition. 
264 1 |a Berlin ;  |a Boston  |b De Gruyter,  |c [2020] 
300 |a 1 online resource (xxvii, 1006 pages)  |b illustrations 
347 |a text file  |b PDF  |2 rda 
490 1 |a De Gruyter studies in mathematics, 0179-0986 ;  |v volume 25 
504 |a Includes bibliographical references and indexes. 
520 |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. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jun 2020). 
505 0 0 |t Frontmatter --  |t Preface to the Fourth Edition --  |t Preface to the Second and Third Editions --  |t Preface to the First Edition --  |t The Logical Dependence of the Contents --  |t Contents --  |t Chapter 1. Basic Topics and Examples --  |t Chapter 2. The Basic Representation Theory of Compact Groups --  |t Chapter 3. The Ideas of Peter and Weyl --  |t Chapter 4. Characters --  |t Chapter 5. Linear Lie Groups --  |t Chapter 6. Compact Lie Groups --  |t Chapter 7. Duality of Abelian Topological Groups --  |t Chapter 8. Compact Abelian Groups --  |t Chapter 9. The Structure of Compact Groups --  |t Chapter 10. Compact Group Actions --  |t Chapter 11. The Structure of Free Compact Groups --  |t Chapter 12. Cardinal Invariants of Compact Groups --  |t Appendix 1. Abelian Groups --  |t Appendix 2. Covering Spaces and Groups --  |t Appendix 3. A Primer of Category Theory --  |t Appendix 4. Selected Results on Topology and Topological Groups --  |t Appendix 5. Measures on Compact Groups --  |t Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups --  |t Appendix 7. Weakly Complete Vector Spaces and Algebras --  |t References --  |t Index of Symbols --  |t Index 
653 0 |a Compact groups. 
653 4 |a Abelian Groups. 
653 4 |a Category Theory. 
653 4 |a Lie algebra. 
653 4 |a Topological groups. 
653 4 |a compact groups. 
653 7 |a MATHEMATICS / Algebra / General.  |2 bisacsh 
653 7 |a Compact groups  |2 fast  |0 (OCoLC)fst00871287 
655 0 |a EBSCO eBooks  |9 905790 
655 0 |a Electronic books.  |9 899821 
700 1 |a Morris, Sidney A.,  |d 1947-  |9 909369 
830 0 |a De Gruyter studies in mathematics ;  |v 25.  |9 909370 
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