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Representations of General Linear Groups (London Mathematical Society Lecture Note Series, Series Number 94) - Softcover

 
9780521269810: Representations of General Linear Groups (London Mathematical Society Lecture Note Series, Series Number 94)

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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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Book Description

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.

"About this title" may belong to another edition of this title.

  • PublisherCambridge University Press
  • Publication date1984
  • ISBN 10 0521269814
  • ISBN 13 9780521269810
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages160

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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521269810

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