Representations of general linear groups / G.D. James.

By:

James, G. D. (Gordon Douglas), 1945-

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 94.Publication details: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984.Description: 1 online resource (xii, 147 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107360983
1107360986
9780511661921
0511661924

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Representations of general linear groups.DDC classification:

512/.2 22

LOC classification:

QA171 .J343 1984eb

Other classification:

31.21
31.30
SI 320
SK 260
MAT 204f
MAT 202f

Online resources:

Click here to access online

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.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 146-147).

Print version record.

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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