TY - BOOK ID - 77894986 TI - Representations of general linear groups PY - 1984 SN - 1139883852 1107365899 1107370620 1107360986 0511950144 1299403700 1107363438 0511661924 9781107360983 9780511661921 0521269814 9780521269810 PB - Cambridge [Cambridgeshire] New York Cambridge University Press DB - UniCat KW - Representations of groups. KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory KW - Representations of groups KW - 512.547 KW - 512.547 Linear representations of abstract groups. Group characters KW - Linear representations of abstract groups. Group characters UR - https://www.unicat.be/uniCat?func=search&query=sysid:77894986 AB - 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. ER -