The Structure of Compact Groups

This book serves as both a graduate textbook and a reference for researchers, offering a comprehensive introduction to compact groups and their representation theory, along with updated developments in the fourth edition.

"The Structure of Compact Groups" serves as both a comprehensive textbook for advanced graduate courses and a valuable reference for researchers interested in the structure and representation theory of compact groups. The book begins with a gentle introduction to the fundamental concepts of compact groups and their representation theory, making it accessible to those who may be new to the subject. This foundational section is designed to help readers grasp the essential ideas before delving into more complex topics.

The text then progresses to self-contained courses that cover linear and compact Lie groups, as well as locally compact abelian groups. Each course is structured to provide a thorough understanding of the respective topics, ensuring that readers can follow along without needing to consult additional materials. This approach not only enhances comprehension but also allows for a deeper exploration of the applications of these mathematical structures in various fields.

The fourth edition of "The Structure of Compact Groups" has been updated to reflect the latest developments in the field, ensuring that it remains a relevant and authoritative resource. By incorporating recent advancements, the authors have made it possible for readers to engage with contemporary research and applications. Overall, this book is an essential tool for anyone looking to deepen their understanding of compact groups and their representation theory, whether for academic study or research purposes.