点击选择搜索分类
首页 - 党政读物- 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
- 满58包邮 猫 9787537594196 日本日贩IPS著 河北科技出版社
- 9787811189360 现代词典 上海大学出版社 刘达临
- 工业崛起
- 幸福女人那三件事:20例个案真实揭秘女人幸福之道
- {RT}通用博物学图典:-【法】夏尔·亨利·德萨利纳·奥尔比尼(Ch 中国青年出版社 97
- 男人来自火星,女人来自金星:心想事成的秘密
- 嗨 元素 元素使者和化合物精灵 化学科普书 趣味化学 化学元素化合物基础知识全集 元素之旅 化学科普
- 正版芊愿天下有情人好聚好散9787503942693赵凝
- 暗物质与恐龙 (美)丽莎·兰道尔 (Lisa Randall)著
- 草场、人和普氏原羚 9787301251331
- 美宇宙全纪录 刘佳辉
- 地球的法则:21世纪地球宣言 9787508660882
- 狡猾的发明 灵感的来源 [英]格里贝利
- 约会指南 9787504363497 中国广播影视出版社
- 地震 科普读物 书籍