群论
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47.23
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79
九品
仅1件
作者Pierre Pamond 著
出版社世界图书出版公司
出版时间2014-09
版次1
装帧平装
货号A9
上书时间2024-10-27
商品详情
- 品相描述:九品
图书标准信息
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作者
Pierre Pamond 著
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出版社
世界图书出版公司
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出版时间
2014-09
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版次
1
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ISBN
9787510078712
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定价
79.00元
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装帧
平装
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开本
16开
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纸张
胶版纸
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页数
310页
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正文语种
简体中文
- 【内容简介】
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《群论》旨在为物理学家介绍群理论的许多有趣的数学方面,同时将数学家带入物理应用。针对高年级本科生和研究生,书中给出了有限群和连续群的最全面的特点,并且强调在基础物理中的应用;展开讨论了有限群,重点强调了不可约表示和不变性;详细论述了李群,也用较多的笔墨讲述了Kac-Moody代数,包括Dynkin图。
- 【目录】
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1Preface:thepursuitofsymmetries
2Finitegroups:anintroduction
2.1Groupaxioms
2.2Finitegroupsofloworder
2.3Permutations
2.4Basicconcepts
2.4.1Conjugation
2.4.2Simplegroups
2.4.3Sylow'scriteria
2.4.4Semi-directproduct
2.4.5YoungTableaux
3Finitegroups:representations
3.1Introduction
3.2Schur'slemmas
3.3The,,44charactertable
3.4Kroneckerproducts
3.5Realandcomplexrepresentations
3.6Embeddings
3.7Zncharactertable
3.8Dncharactertable
3.9Q2,charactertable
3.10Somesemi-directproducts
3.11Inducedrepresentations
3.12Invariants
3.13Coverings
4Hilbertspaces
4.1FiniteHilbertspaces
4.2Fermioscillators
4.3InfiniteHilbertspaces
5SU(2)
5.1Introduction
5.2Somerepresentations
5.3FromLiealgebrastoLiegroups
5.4SU(2)→SU(1,1)
5.5SelectedSU(2)applications
5.5.1Theisotropicharmonicoscillator
5.5.2TheBohratom
5.5.3Isotopicspin
6SU(3)
6.1SU(3)algebra
6.2α-Basis
6.3β-Basis
6.4α'-Basis
6.5Thetripletrepresentation
6.6TheChevalleybasis
6.7SU(3)inphysics
6.7.1Theisotropicharmonicoscillatorredux
6.7.2TheElliottmodel
6.7.3TheSakatamodel
6.7.4TheEightfoldWay
7ClassificationofcompactsimpleLiealgebras
7.1Classification
7.2Simpleroots
7.3Rank-twoalgebras
7.4Dynkindiagrams
7.5Orthonormalbases
8Liealgebras:representationtheory
8.1Representationbasics
8.2A3fundamentals
8.3TheWeylgroup
8.4OrthogonalLiealgebras
8.5Spinorrepresentations
8.5.1SO(2n)spinors
8.5.2SO(2n+1)spinors
8.5.3Cliffordalgebraconstruction
8.6CasimirinvariantsandDynkinindices
8.7Embeddings
8.8Oscillatorrepresentations
8.9Vermamodules
8.9.1Weyldimensionformula
8.9.2Vermabasis
9Finitegroups:theroadtosimplicity
9.1MatricesoverGaloisfields
9.1.1PSL2(7)
9.1.2Adoublytransitivegroup
9.2Chevalleygroups
9.3Afleetingglimpseatthesporadicgroups
10BeyondLiealgebras
10.1Serrepresentation
10.2AffineKac-Moodyalgebras
10.3Superalgebras
11ThegroupsoftheStandardModel
11.1Space-timesymmetries
11.1.1TheLorentzandPoincar6groups
11.1.2Theconformalgroup
11.2Beyondspace-timesymmetries
11.2.1Colorandthequarkmodel
11.3InvariantLagrangians
11.4Non-Abeliangaugetheories
11.5TheStandardModel
11.6GrandUnification
11.7Possiblefamilysymmetries
11.7.1FiniteSU(2)andSO(3)subgroups
11.7.2FiniteSU(3)subgroups
12Exceptionalstructures
12.1Hurwitzalgebras
12.2MatricesoverHurwitzalgebras
12.3TheMagicSquare
Appendix1Propertiesofsomefinitegroups
Appendix2PropertiesofselectedLiealgebras
References
Index
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