出版社:世界图书出版公司北京公司
年代:2009
定价:28.0
本书是线性代数群的基本著作,它是以作者于1969年和1971~1972年在几所学校讲课的讲义为基础形成的。初版于1975年,本书于1998年第五次修订重印本,介绍了任意特征代数闭域K上的有关理论。全书论述清晰,易于入门。
Ⅰ.AlgebraicGeometry
0.SomeCommutativeAlgebra
1.AffineandProjectiveVarieties
1.1IdealsandAflineVarieties
1.2ZariskiTopologyonAffineSpace
1.3IrreducibleComponents
1.4ProductsofAffineVarieties
1.5AffineAlgebrasandMorphisms
1.6ProjectiveVarieties
1.7ProductsofProjectiveVarieties
1.8FlagVarieties
2.Varieties
2.1LocalRings
2.2Prevarieties
2.3Morphisms
2.4Products
2.5HausdorffAxiom
3.Dimension
3.1DimensionofaVariety
3.2DimensionofaSubvariety
3.3DimensionTheorem
3.4Consequences
4.Morphisms
4.1FibresofaMorphism
4.2FiniteMorphisms
4.3ImageofaMorphism
4.4ConstructibleSets
4.5OpenMorphisms
4.6BijectiveMorphisms
4.7BirationalMorphisms
5.TangentSpaces
5.1ZariskiTangentSpace
5.2ExistenceofSimplePoints
5.3LocalRingofaSimplePoint
5.4DifferentialofaMorphism.
5.5DifferentialCriterionforSeparability
6.CompleteVarieties
6.1BasicProperties
6.2CompletenessofProjectiveVarieties
6.3VarietiesIsomorphictoP
6.4AutomorphismsofP
Ⅱ.AflineAlgebraicGroups
7.BasicConceptsandExamples
7.1TheNotionofAlgebraicGroup
7.2SomeClassicalGroups
7.3IdentityComponent
7.4SubgroupsandHomomorphisms.
7.5GenerationbyIrreducibleSubsets
7.6HopfAIgebras
8.ActionsofAlgebraicGroupsonVarieties
8.1GroupActions
8.2ActionsofAlgebraicGroups
8.3ClosedOrbits
8.4SemidirectProducts
8.5TranslationofFunctions
8.6LinearizationofAffineGroups
Ⅲ.LieAlgebras
9.LieAlgebraofanAlgebraicGroup
9.1LieAlgebrasandTangentSpaces
9.2Convolution
9.3Examples.
9.4SubgroupsandLieSubalgebras
9.5DualNumbers
10.Differentiation.
10.1SomeElementaryFormulas
10.2DifferentialofRightTranslation
10.3TheAdjointRepresentation
10.4DifferentialofAd
10.5Commutators
10.6Centralizers
10.7AutomorphismsandDerivations
Ⅳ.HomogeneousSpaces
11.ConstructionofCertainRepresentations
11.1ActiononExteriorPowers
11.2ATheoremofChevalley
11.3PassagetoProjectiveSpace
11.4CharactersandSemi-lnvariants.
11.5NormalSubgroups
12.Quotients
Ⅴ.CharacteristicOTheory
Ⅵ.SemisimpleandUnipotentElements
Ⅶ.SolvableGroups
Ⅷ.BorelSubgroups
Ⅸ.CentralizersofTori
Ⅹ.StructureofReductiveGroups
Ⅺ.RepresentatinsandClassficationofSemisimpleGroups
Ⅻ.SurveyofRationalityProperties
AppendixRootSystems
Bibliography
IndexofTerminology
IndexofSymbols
Forthisprinting,Ihavecorrectedsomeerrorsandmadenumerousminorchangesintheinterestofclarity.ThemostsignificantcorrectionsoccurinSections4.2,4.3,5.5,30.3,32.1,and32.3.Ihavealsoupdatedthebibliographytosomeextent.Thanksareduetoanumberofreaderswhotookthetroubletopointouterrors,orobscurities;especiallyhelpfulwerethedetailedcommentsofJoseAntonioVargas.
书籍详细信息 | |||
书名 | 线性代数群站内查询相似图书 | ||
9787510004414 如需购买下载《线性代数群》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN | |||
出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
版次 | 1版 | 印次 | 1 |
定价(元) | 28.0 | 语种 | 英文 |
尺寸 | 14 | 装帧 | 平装 |
页数 | 印数 | 2000 |
线性代数群是世界图书出版公司北京公司于2009.04出版的中图分类号为 O187.2 的主题关于 线性代数群-英文 的书籍。
(荷) 斯普林格 (Springer,T.A.) , 著
(美) 布罗尔, 著
曹锡华, 王建磐, 著
(法) 瓦尔德施密特 (Waldschmidt,M.) , 著
(美) 里昂 (Leon,S.J.) , 著
(美) P.彼得森 (P. Petersen) , 著
(德) 杰恩斯·卡斯滕·詹特森 (Jens Carsten Jantzen) , 著
(俄罗斯) 帕尔申 (Parshin,A.N.) 等, 编著
张丽娟, 主编