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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Representaions of General Linear Groups

Representaions of General Linear Groups

James, G. D.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 94

AlgebraGeneral Mathematics

ISBN10: 0521269814
ISBN13: 9780521269810
Publisher: Cambridge University Press
Published: May 24 1984
Pages: 160
Weight: 0.54
Height: 0.37 Width: 6.00 Depth: 9.00
Language: English
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.

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