The Theory of Group Characters and Matrix Representations of Groups

Dudley E. Littlewood

310 pages, parution le 27/04/2006 (2^eme édition)

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Résumé

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.

Sommaire

Matrices
Algebras
Groups
The Frobenius Algebra
The Symmetric Group
Immanants and S-Functions
S-Functions of Special Series
The Calculation of Special Characters of the Symmetric Group
Group Characters and the Structure of Groups
Continuous Matrix Groups and Invariants Matrices
Groups of Unitary Matrices
Appendix
Corrigendum

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Caractéristiques techniques

	PAPIER
Éditeur(s)	AMS Chelsea
Auteur(s)	Dudley E. Littlewood
Parution	27/04/2006
Édition	2^eme édition
Nb. de pages	310
Format	18 x 26
Couverture	Relié
Poids	730g
Intérieur	Noir et Blanc
EAN13	9780821840672
ISBN13	978-0-8218-4067-2