Local Representation Theory 2024 pdf epub mobi 电子书

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发表于2024-06-14

Local Representation Theory 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:J. L. Alperin

出品人:

页数:192

译者:

出版时间:1993-9

价格:GBP 25.99

装帧:Paperback

isbn号码:9780521449267

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签: 数学 representation 2019 表示论

Local Representation Theory 2024 pdf epub mobi 电子书图书描述

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 groups. 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.

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