UID:
almahu_9949462249802882
Umfang:
1 online resource (858 p.)
Ausgabe:
2nd rev. and augmented ed.
ISBN:
9783110199772
,
9783110494938
Serie:
De Gruyter Studies in Mathematics , 25
Inhalt:
Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book 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. The first edition of 1998 was well received by reviewers and has been frequently "ed in the areas of instruction and research. For the present new edition the text has been cleaned of typographical flaws and some minor inaccuracies of content; it has been edited and improved in various sections. New material has been added in order to reflect ongoing research. In the process of revising the original edition, the integrity of the original section numbering was carefully respected so that citations of material from the first edition remains perfectly viable to the users of this edition.
Anmerkung:
Frontmatter --
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Contents --
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Chapter 1 Basic Topics and Examples --
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Chapter 2 The Basic Representation Theory of --
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Compact Groups --
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Chapter 3 The Ideas of Peter and Weyl --
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Chapter 4 Characters --
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Chapter 5 Linear Lie Groups --
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Chapter 6 Compact Lie Groups --
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Chapter 7 Duality for Abelian Topological --
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Groups --
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Chapter 8 Compact Abelian Groups --
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Chapter 9 The Structure of Compact Groups --
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Chapter 10 Compact Group Actions --
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Chapter 11 The Structure of Free Compact --
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Groups --
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Chapter 12 Cardinal Invariants of Compact --
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Groups --
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Backmatter
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Issued also in print.
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Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008, De Gruyter, 9783110209082
Weitere Ausg.:
ISBN 9783110190069
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110199772
URL:
https://doi.org/10.1515/9783110199772
URL:
https://www.degruyter.com/isbn/9783110199772
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