The Structure of Compact Groups (eBook)

A Primer for the Student - A Handbook for the Expert

Karl H. Hofmann, Sidney A. Morris (Autoren)

eBook Download: PDF

2013 | 3rd revised and augmented edition
946 Seiten
De Gruyter (Verlag)
978-3-11-029679-2 (ISBN)

Infos

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.

Karl H. Hofmann, TU Darmstadt, Germany,Tulane University, USA; Sidney A. Morris, University of Ballarat, LaTrobe University, Australia

Autor

lt;STRONG>Karl H. Hofmann, TU Darmstadt, Germany, Tulane Uni., USA; Sidney A. Morris, University of Ballarat, LaTrobe University, Australia.

Rezensionen

lt;P>„Altogether, this book is a must for everybody who is interested in topological groups." Internationale Mathematische Nachrichten

"Each chapter and appendix has a short preface of introductory nature and a historical and theoretical postscript and is completed with a list of corresponding references. Many examples are discussed, which are mainly of general interest, and the book is endowed with many exercises, almost all of which are of the form "prove the previous assertion'' (which stresses the role of the book as both a "primer for the student'' and a "handbook for the expert''). Thus, the book is very informative. The text is quite understandable and well written (as are other texts by the authors). [...] The book by Hofmann and Morris is fresh and promising, and its ideas, approaches, and results advance the structure theory of more general topological groups; thus, it is guaranteed a vast audience." Mathematical Reviews (review of the first edition)

Produkt-Details

• Erscheint lt. Verlag: 29.8.2013
• Reihe/Serie: De Gruyter Studies in Mathematics
• Reihe/Serie: ISSN
• Zusatzinfo: 2 b/w tbl.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• Schlagworte: abelian group • Abelian Groups • category theory • Compact Group • compact groups • Lie algebra • topological group • Topological Groups
• ISBN-10: 3-11-029679-9 / 3110296799
• ISBN-13: 978-3-11-029679-2 / 9783110296792