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.
Thorough introduction to compact groups, which have applications in algebra, topology, functional analysis, and theoretical physics.
Thrust of the book points to structure theory of infinite dimensional, not necessarily commutative compact groups.
Karl H. Hofmann, TU Darmstadt, Germany, Tulane University, USA;
Sidney A. Morris, University of Ballarat, LaTrobe University, Australia