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<図書>
Local representation theory : modular representations as an introduction to the local representation theory of finite groups

責任表示 J.L. Alperin
シリーズ Cambridge studies in advanced mathematics ; 11
データ種別 図書
出版者 Cambridge ; New York : Cambridge University Press
出版年 1986
本文言語 英語
大きさ x, 178 p. : ill. ; 24 cm
概要 Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite grou...s. Professor Alperin concentrates on local representation theory, emphasizing 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. Exercises are provided at the end of most sections; the results of some are used later in the text. 続きを見る
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所蔵情報


理系図3F 数理独自 068222186006130 ALPE/10/1 1986

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Alperin, J. L.
件 名 LCSH:Finite groups
LCSH:Modular representations of groups
NDLSH:表現論(数学)
NDLSH:有限群
分 類 LCC:QA171
DC19:512/.2
NDC8:411.62
書誌ID 1000026472
ISBN 0521306604
NCID BA00109852
巻冊次 ISBN:0521306604
登録日 2009.09.10
更新日 2017.03.14

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