群的表示与群的特征（第2版）

图书标准信息

• 作者 詹姆斯（James.C.） 著
• 出版社 世界图书出版公司
• 出版时间 2009-05
• 版次 2
• ISBN 9787510004582
• 定价 49.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 458页
• 正文语种 英语

【内容简介】

Representationtheoryisconcernedwiththewaysofwritingagroupasagroupofmatrices.Notonlyisthetheorybeautifulinitsownright，butitalsoprovidesoneofthekeystoaproperunderstandingoffinitegroups.Forexample，itisoftenvitaltohaveaconcretedescriptionofaparticulargroup；thisisachievedbyfindingarepresentationofthegroupasagroupofmatrices.Moreover，bystudyingthedifferentrepresentationsofthegroup，itispossibletoproveresultswhichlieoutsidetheframeworkofrepresentationtheory.Onesimpleexample：allgroupsoforderp2（wherepisaprimenumber）areabelian；thiscanbeshownquicklyusingonlygrouptheory，butitisalsoaconsequenceofbasicresultsaboutrepresentations.

【目录】

Preface
1Groupsandhomomorphisms
2Vectorspacesandlineartransformations
3Grouprepresentations
4FG-modules
5FG-submodulesandreducibility
6Groupalgebras
7FG-homomorphisms
8Maschke'sTheorem
9Schur'sLemma
10Irreduciblemodulesandthegroupalgebra
11Moreonthegroupalgebra
12Conjugacyclasses
13Characters
14Innerproductsofcharacters
15Thenumberofirreduciblecharacters
16Charactertablesandorthogonalityrelations
17Normalsubgroupsandliftedcharacters
18Someelementarycharactertables
19Tensorproducts
20Restrictiontoasubgroup
21Inducedmodulesandcharacters
22Algebraicintegers
23Realrepresentations
24Summaryofpropertiesofcharactertables
25Charactersofgroupsoforderpq
26Charactersofsomep-groups
27Charactertableofthesimplegroupoforder168
28CharactertableofGL（2，q）
29Permutationsandcharacters
30Applicationstogrouptheory
31Burnside'sTheorem
32Anapplicationofrepresentationtheorytomolecularvibration
Solutionstoexercises
Bibliography
Index