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.

Morris Sidney A.,; Hofmann  Karl Heinrich

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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