点击选择搜索分类
首页 - 繪畫/書法- 正文
☆☆☆☆☆
||
Pierre Pamond 著
出版社: 世界图书出版公司 ISBN:9787510078712 版次:1 商品编码:11604297 包装:平装 外文名称:Croup Theory A Physicist's Survey 开本:16开 出版时间:2014-09-01 用纸:胶版纸 页数:310 正文语种:中文
2 Finite groups: an introduction
2.1 Group axioms
2.2 Finite groups of low order
2.3 Permutations
2.4 Basic concepts
2.4.1 Conjugation
2.4.2 Simple groups
2.4.3 Sylow's criteria
2.4.4 Semi-direct product
2.4.5 Young Tableaux
3 Finite groups: representations
3.1 Introduction
3.2 Schur's lemmas
3.3 The ,,44 character table
3.4 Kronecker products
3.5 Real and complex representations
3.6 Embeddings
3.7 Zn character table
3.8 Dn character table
3.9 Q2, character table
3.10 Some semi-direct products
3.11 Induced representations
3.12 Invariants
3.13 Coverings
4 Hilbert spaces
4.1 Finite Hilbert spaces
4.2 Fermi oscillators
4.3 Infinite Hilbert spaces
5 SU(2)
5.1 Introduction
5.2 Some representations
5.3 From Lie algebras to Lie groups
5.4 SU(2) → SU(1, 1)
5.5 Selected SU(2) applications
5.5.1 The isotropic harmonic oscillator
5.5.2 The Bohr atom
5.5.3 Isotopic spin
6 SU(3)
6.1 SU(3) algebra
6.2 α-Basis
6.3 β-Basis
6.4 α'-Basis
6.5 The triplet representation
6.6 The Chevalley basis
6.7 SU(3) in physics
6.7.1 The isotropic harmonic oscillator redux
6.7.2 The Elliott model
6.7.3 The Sakata model
6.7.4 The Eightfold Way
7 Classification of compact simple Lie algebras
7.1 Classification
7.2 Simple roots
7.3 Rank-two algebras
7.4 Dynkin diagrams
7.5 Orthonormal bases
8 Lie algebras: representation theory
8.1 Representation basics
8.2 A3 fundamentals
8.3 The Weyl group
8.4 Orthogonal Lie algebras
8.5 Spinor representations
8.5.1 SO(2n) spinors
8.5.2 SO(2n + 1) spinors
8.5.3 Clifford algebra construction
8.6 Casimir invariants and Dynkin indices
8.7 Embeddings
8.8 Oscillator representations
8.9 Verma modules
8.9.1 Weyl dimension formula
8.9.2 Verma basis
9 Finite groups: the road to simplicity
9.1 Matrices over Galois fields
9.1.1 PSL2(7)
9.1.2 A doubly transitive group
9.2 Chevalley groups
9.3 A fleeting glimpse at the sporadic groups
10 Beyond Lie algebras
10.1 Serre presentation
10.2 Affine Kac-Moody algebras
10.3 Super algebras
11 The groups of the Standard Model
11.1 Space-time symmetries
11.1.1 The Lorentz and Poincar6 groups
11.1.2 The conformal group
11.2 Beyond space-time symmetries
11.2.1 Color and the quark model
11.3 Invariant Lagrangians
11.4 Non-Abelian gauge theories
11.5 The Standard Model
11.6 Grand Unification
11.7 Possible family symmetries
11.7.1 Finite SU(2) and SO(3) subgroups
11.7.2 Finite SU(3) subgroups
12 Exceptional structures
12.1 Hurwitz algebras
12.2 Matrices over Hurwitz algebras
12.3 The Magic Square
Appendix 1 Properties of some finite groups
Appendix 2 Properties of selected Lie algebras
References
Index
群论 [Croup Theory A Physicist's Survey] 电子书 下载 mobi epub pdf txt
群论 [Croup Theory A Physicist's Survey]-so88
群论 [Croup Theory A Physicist's Survey] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Pierre Pamond 著
出版社: 世界图书出版公司 ISBN:9787510078712 版次:1 商品编码:11604297 包装:平装 外文名称:Croup Theory A Physicist's Survey 开本:16开 出版时间:2014-09-01 用纸:胶版纸 页数:310 正文语种:中文
内容简介
《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
1 Preface: the pursuit of symmetries2 Finite groups: an introduction
2.1 Group axioms
2.2 Finite groups of low order
2.3 Permutations
2.4 Basic concepts
2.4.1 Conjugation
2.4.2 Simple groups
2.4.3 Sylow's criteria
2.4.4 Semi-direct product
2.4.5 Young Tableaux
3 Finite groups: representations
3.1 Introduction
3.2 Schur's lemmas
3.3 The ,,44 character table
3.4 Kronecker products
3.5 Real and complex representations
3.6 Embeddings
3.7 Zn character table
3.8 Dn character table
3.9 Q2, character table
3.10 Some semi-direct products
3.11 Induced representations
3.12 Invariants
3.13 Coverings
4 Hilbert spaces
4.1 Finite Hilbert spaces
4.2 Fermi oscillators
4.3 Infinite Hilbert spaces
5 SU(2)
5.1 Introduction
5.2 Some representations
5.3 From Lie algebras to Lie groups
5.4 SU(2) → SU(1, 1)
5.5 Selected SU(2) applications
5.5.1 The isotropic harmonic oscillator
5.5.2 The Bohr atom
5.5.3 Isotopic spin
6 SU(3)
6.1 SU(3) algebra
6.2 α-Basis
6.3 β-Basis
6.4 α'-Basis
6.5 The triplet representation
6.6 The Chevalley basis
6.7 SU(3) in physics
6.7.1 The isotropic harmonic oscillator redux
6.7.2 The Elliott model
6.7.3 The Sakata model
6.7.4 The Eightfold Way
7 Classification of compact simple Lie algebras
7.1 Classification
7.2 Simple roots
7.3 Rank-two algebras
7.4 Dynkin diagrams
7.5 Orthonormal bases
8 Lie algebras: representation theory
8.1 Representation basics
8.2 A3 fundamentals
8.3 The Weyl group
8.4 Orthogonal Lie algebras
8.5 Spinor representations
8.5.1 SO(2n) spinors
8.5.2 SO(2n + 1) spinors
8.5.3 Clifford algebra construction
8.6 Casimir invariants and Dynkin indices
8.7 Embeddings
8.8 Oscillator representations
8.9 Verma modules
8.9.1 Weyl dimension formula
8.9.2 Verma basis
9 Finite groups: the road to simplicity
9.1 Matrices over Galois fields
9.1.1 PSL2(7)
9.1.2 A doubly transitive group
9.2 Chevalley groups
9.3 A fleeting glimpse at the sporadic groups
10 Beyond Lie algebras
10.1 Serre presentation
10.2 Affine Kac-Moody algebras
10.3 Super algebras
11 The groups of the Standard Model
11.1 Space-time symmetries
11.1.1 The Lorentz and Poincar6 groups
11.1.2 The conformal group
11.2 Beyond space-time symmetries
11.2.1 Color and the quark model
11.3 Invariant Lagrangians
11.4 Non-Abelian gauge theories
11.5 The Standard Model
11.6 Grand Unification
11.7 Possible family symmetries
11.7.1 Finite SU(2) and SO(3) subgroups
11.7.2 Finite SU(3) subgroups
12 Exceptional structures
12.1 Hurwitz algebras
12.2 Matrices over Hurwitz algebras
12.3 The Magic Square
Appendix 1 Properties of some finite groups
Appendix 2 Properties of selected Lie algebras
References
Index
群论 [Croup Theory A Physicist's Survey] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 寻找薛定谔的猫-量子物理的奇异世界
- 现货Scala实用指南 Scala编程语言基础入门进阶教程书籍
- 围棋入门口袋书
- Android APP开发实战 从规划到上线全程详解 安卓APP开发入门教程
- 寂静的春天(精装版)
- 世界艺术巨匠 名画家全集外国艺术画册 油画书籍 梵高凡高莫奈塞尚 毕沙罗等共9本世界绘画
- 正版 进化论 (英)大卫·布林尼 9787108017765
- 智能客服机器人
- 满58包邮 鸟国拾趣 上 9787503882814 谈宜斌 中国林业出版社
- 历代名绘真赏:元吴镇墨竹谱
- 环境与人类健康
- 老上海女子风情画:沈泊尘〈新新百美图〉
- 贪玩的人类3--改变世界的中国智慧 9787030521323 老多(李建荣)-RT
- 包邮 兴趣学素描 零基础自学入门书籍 动物 风景 绘画铅笔教程 成人手绘画画本的诀窍 初
- 推动丛书宇宙系列:黑洞与时间弯曲 [美] 基普S.索恩