The most important examples of finite groups are the group of permutations of a set of n objects, known as the symmetric group, and the group of non-singular n-by-n matrices over a finite field, which is called the general linear group. This book examines the representation theory of the general lin...

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Bibliographic Details

Main Author:	James, G. D. 1945- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1984
Series:	London Mathematical Society lecture note series 94
Subjects:	Representations of groups Lineare Gruppe Darstellungstheorie
Online Access:	BSB01 FHN01 Volltext
Summary:	The most important examples of finite groups are the group of permutations of a set of n objects, known as the symmetric group, and the group of non-singular n-by-n matrices over a finite field, which is called the general linear group. This book examines the representation theory of the general linear groups, and reveals that there is a close analogy with that of the symmetric groups. It consists of an essay which was joint winner of the Cambridge University Adams Prize 1981-2, and is intended to be accessible to mathematicians with no previous specialist knowledge of the topics involved. Many people have studied the representations of general linear groups over fields of the natural characteristic, but this volume explores new territory by considering the case where the characteristic of the ground field is not the natural one. Not only are the results in the book elegant and interesting in their own right, but they suggest many lines for further investigation
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xii, 147 pages)
ISBN:	9780511661921
DOI:	10.1017/CBO9780511661921