✦ LIBER ✦

Representations of Finite and Compact Groups

✍ Scribed by Barry Simon

Book ID: 127418101
Publisher: American Mathematical Society
Year: 1996
Tongue: English
Weight: 2 MB
Series: Graduate studies in mathematics 10
Category: Library
City: Providence, R.I
ISBN-13: 9780821804537
ISSN: 1065-7339

No coin nor oath required. For personal study only.

✦ Synopsis

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". The exposition in the book centers around the study of representation of certain concrete classes of groups, including permutation groups and compact semisimple Lie groups. It culminates in the complete proof of the Weyl character formula for representations of compact Lie groups and the Frobenius formula for characters of permutation groups. Extremely well tailored both for a one-year course in representation theory and for independent study, this book is an excellent introduction to the subject which, according to the author, is unique in having "so much innate beauty so close to the surface".

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