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Representations of Finite and Compact Groups by Barry Simon
Barry Simon is the author of many well-known books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. Two facets distinguish the approach. First, the 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 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 is unique in having so much innate beauty so close to the surface.-
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Contains a very good explanation of representation theory of finite and compact groups and can be recommended to everyone for learning or teaching representation theory-- Zentralblatt MATH This is indeed a nice book ... I would recommend it precisely for the graduate course [that] I am teaching now, ""Representation Theory"" ... I very much like the hands-on approach and the very explicit formulae that are given ... Professor Simon has done an excellent job on this beautiful material. -- Tudor Ratiu, University of California, Santa Cruz Can be recommended as a base for courses about representations of finite groups and finite-dimensional representations of Lie groups. -- Mathematical Reviews This book closes a gap that impeded instruction in the principles of the theory of group representations in the past ... it would also tend to close the gap between the interested student of the subject and the advanced researcher keen on bare facts ... a most readable account of a subject of enduring fascination. -- Monatshefte fur Mathematik
Barry Simon, California Institute of Technology, Pasadena, CA
| SKU | Unavailable |
| ISBN 13 | 9781470481186 |
| ISBN 10 | 1470481189 |
| Title | Representations of Finite and Compact Groups |
| Author | Barry Simon |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2026-11-15 |
| Number of pages | 266 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |