TY - BOOK AU - Barry Simon TI - Representations of finite and compact groups T2 - Graduate Studies in Mathematics SN - 9780821848517 AV - QA176 PY - 1996///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Chapter I. Groups and counting principles Chapter II. Fundamentals of group representations Chapter III. Abstract theory of representations of finite groups Chapter IV. Representations of concrete finite groups. I: Abelian and Clifford groups Chapter V. Representations of concrete finite groups. II: Semidirect products and induced representations Chapter VI. Representations of concrete finite groups. III: The symmetric groups Chapter VII. Compact groups Chapter VIII. The structure of compact semisimple groups Chapter IX. The representations of compact semisimple groups N2 - Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute of Technology, is the author of several books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This new book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. According to the author, “Two facets distinguish my approach. First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor”. --- summary provided by publsiher ER -