UID:
almafu_9958354189902883
Format:
1 online resource(xxii,924p.) :
,
illustrations.
Edition:
3rd revised and augmented edition
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110296792
Series Statement:
De Gruyter Studies in Mathematics; 25
Content:
Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book – now in its third revised and augmented edition – has been conceived with the dual purpose of providing a text book for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, on compact Lie groups, and on locally compact abelian groups. However, the thrust of book points in the direction of the structure theory of infinite dimensional, not necessarily commutative compact groups, unfettered by weight restrictions or dimensional bounds. In the process it utilizes infinite dimensional Lie algebras and the exponential function of arbitrary compact groups.
Note:
Frontmatter --
,
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 for 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 --
,
References --
,
Index of Symbols --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110296556
Additional Edition:
ISBN 9783110296808
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books
DOI:
10.1515/9783110296792
URL:
https://doi.org/10.1515/9783110296792
URL:
Volltext
(lizenzpflichtig)
URL:
https://doi.org/10.1515/9783110296792
URL:
https://www.degruyter.com/isbn/9783110296792
