Representation Theory of Finite Groups and Associative Algebras

Charles W. Curtis And Irving Reiner

ISBN 10: 0821840665 / ISBN 13: 9780821840665

Editore: American Mathematical Society, US, 2006

First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics. Codice articolo LU-9780821840665

Riassunto:

In this study of concrete realizations of the axiomatic systems of abstract algebra, Curtis and Reiner noted the increased emphasis in the 1950s on integral representations of groups and rings, which had been motivated by questions engendered by homological algebra. They cover background from group theory, representations and modules, algebraic number theory, semi-simple rings and group algebras, group characters, induced characters, induced representations, non-smi-simple rings, Frobenius algebras, splitting fields and separable algebras, integral representations and modular representations. This facsimile edition includes the bibliography and index. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

Product Description: Book by Charles W Curtis and Irving Reiner

Dati bibliografici

Titolo: Representation Theory of Finite Groups and ...
Casa editrice: American Mathematical Society, US
Data di pubblicazione: 2006
Legatura: Hardback
Condizione: New