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群及其表示(影印版)

群及其表示(影印版)

定 價(jià):¥41.00

作 者: J.L.Alperin,Rowen B.Bell
出版社: 北京世圖
叢編項(xiàng): Graduate Texts in Mathematics
標(biāo) 簽: 群表示論

ISBN: 9787506233002 出版時(shí)間: 2004-06-01 包裝: 出版日期:1997-9-1 版次:1
開本: 32開 頁數(shù): 194 字?jǐn)?shù):  

內(nèi)容簡介

  This book is based on a first-year graduate course given regularly by the first author at the University of Chicago, most recently in the autumn quarters of 1991,1992,and 1993. The lectures given in this course were expanded and prepared for publication by the second author.The aim of this book is to provide a concise yet thorough treatement of some topics from group theory and representation theory with which every mathematician should be well acquainted. Of course, the topics covered naturally reflect the viewpoints and interests of the authors; for instance, we make no mention of free froups, and the emphasis throughout is admittedly on finite groups. Our hope is that this book will enable graduate students from every mathematical field, as well as bright undergraduates with an interest in algebra, to solidify their knowledge of group theory.本書為英文版。

作者簡介

暫缺《群及其表示(影印版)》作者簡介

圖書目錄

Preface
1.RudimentsofGroupTheory
1.Review
2.Automorphisms
3.GroupActions
2.TheGeneralLinearGroup
4.BasicStructure
5.ParabolicSubgroups
6.TheSpecialLinearGroup
3.LocalStructure
7.Sylow'sTheorem
8.Finitep-groups
9.TheSchur-ZassenhausTheorem
4.NormalStructure
10.CompositionSeries
11.SolvableGroups
5.SemisimpleAlgebras
12.ModulesandRepresentations
13.WedderburnTheory
6.GroupRepresentations
14.Characters
15.TheCharacterTable
16.Induction
Appendix:AlgebraicIntegersandCharacters
Bibliography
ListofNotation
Index

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