✦ LIBER ✦

The theory of group characters and matrix representations of groups

✍ Scribed by Dudley E. Littlewood

Book ID: 127454227
Publisher: AMS Chelsea Pub
Year: 2005
Tongue: English
Weight: 7 MB
Series: Applied Mathematical Sciences Chelsea Publishing
Edition: 2nd ed
Category: Library
City: Providence, R.I
ISBN-13: 9780821840672

No coin nor oath required. For personal study only.

✦ Synopsis

Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in this part of the book are several chapters devoted to representations and characters of symmetric groups and the closely related theory of symmetric polynomials. The concluding chapters present the representation theory of classical compact Lie groups, including a detailed description of representations of the unitary and orthogonal groups. The book, which can be read with minimal prerequisites (an undergraduate algebra course), allows the reader to get a good understanding of beautiful classical results about group representations.

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