Local Representation Theory : Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

J. L. Alperin

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Language: English

Published by Cambridge University Press, 1993

052144926X / 9780521449267

Series: Book 8 of 151 - Cambridge Studies in Advanced Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.…

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Title
Local Representation Theory : Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
Author
J. L. Alperin
Publisher
Cambridge University Press
Publication year
1993
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
052144926X
ISBN 13
9780521449267
Item weight
287 grams
Dimensions
229x152x11 mm
Series
Book 8 of 151: Cambridge Studies in Advanced Mathematics

AHA-BUCH GmbH

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