The Theory of Group Characters and Matrix Representations of Groups

Dudley E. Littlewood

ISBN 10: 0821840673 / ISBN 13: 9780821840672

Published by American Mathematical Society, US, 2006

About this Item

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.

Seller Inventory # LU-9780821840672

Bibliographic Details

• Title: The Theory of Group Characters and Matrix Representations of Groups
• Publisher: American Mathematical Society, US
• Publication Date: 2006
• Language: English
• ISBN 10: 0821840673
• ISBN 13: 9780821840672
• Binding: Hardback
• Edition: 2nd.
• Condition: New

About this title

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.