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  • 正版新书]李群,李代数及其表示(影印版)(美)范阮达若詹 著978750
  • 全店均为全新正版书籍,欢迎选购!新疆西藏青海(可包挂刷).港澳台及海外地区bu bao快递
    • 作者: (美)范阮达若詹 著著 | (美)范阮达若詹 著编 | (美)范阮达若詹 著译 | (美)范阮达若詹 著绘
    • 出版社: 世界图书出版公司北京公司
    • 出版时间:2008-05-01
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    • 作者: (美)范阮达若詹 著著| (美)范阮达若詹 著编| (美)范阮达若詹 著译| (美)范阮达若詹 著绘
    • 出版社:世界图书出版公司北京公司
    • 出版时间:2008-05-01
    • 版次:1
    • 印次:5
    • 字数:456000
    • 页数:456
    • 开本:16开
    • ISBN:9787506292245
    • 版权提供:世界图书出版公司北京公司
  • 作者: (美)范阮达若詹 著
  • 著: (美)范阮达若詹 著
  • 装帧: 平装
  • 印次: 5
  • 定价: 119
  • ISBN: 9787506292245
  • 出版社: 世界图书出版公司北京公司
  • 开本: 16开
  • 印刷时间: 暂无
  • 语种: 暂无
  • 出版时间: 2008-05-01
  • 页数: 456
  • 外部编号: 五三B132009
  • 版次: 1
  • 成品尺寸: 暂无
  • Preface

    Chapter 1 Differentiable and Analytic Manifolds

    1.1 Differentiable Manifolds

    1.2 Analytic Manifolds

    1.3 The Frobcnius Theorem

    1.4 Appendix

    Exercises

    Chapter 2 Lie Groups and Lie Algebras

    2.1 Definition and Examples of Lie Groups

    2.2 Lie Algebras

    2.3 The Lie Algebra of a Lie Group

    2.4 The Enveloping Algebra of a Lie Group

    2.5 Subgroups and Subalgebras

    2.6 Locally isomorphic Groups

    2.7 Homomorphisms

    2.8 The Fundamental Theorem of Lie

    2.9 Closed Lie Subgroups and Homogeneous Spaces.Orbits and Spaces of Orbits

    2.10 The Exponential Map

    2.11 The Uniqueness of the Real Analytic Structure of a Real Lie Group

    2.12 Taylor Series Expansions on a Lie Group

    2.13 The Adjoint Representations of g and G

    2.14 The Differential of the Exponential Map

    2.15 The Baker-Campbell-Hausdorff Formula

    2.16 Lies Theory of Transformation Groups

    Exercises

    Chapter 3 Structure Theory

    3.1 Review of Linear Algebra

    3.2 The Universal Enveloping Algebra of a Lie Algebra

    3.3 The Universal Enveloping Algebra as a Filtered Algebra

    3.4 The Enveloping Algebra of a Lie Group

    3.5 Nilpotent Lie Algebras

    3.6 Nilpotent Analytic Groups

    3.7 Solvable Lie Algebras

    3.8 The Radical and the Nil Radical

    3.9 Cartans Criteria for Solvability and Semisimplicity

    3.10 Semisimple Lie Algebras

    3.11 The Casimir Element

    3.12 Some Cohomology

    3.13 The Theorem of Weyl

    3.14 The Levi Decomposition

    3.15 The Analytic Group of a Lie Algebra

    3.16 Reductive Lie Algebras

    3.17 The Theorem of Ado

    3.18 Some Global Results

    Exercises

    Chapter 4 Complex Semisimple Lie Algebras And Lie Groups:Structure and Representation

    4.1 Cartan Subalgebras

    4.2 The Representations of ξl(2,C)

    4.3 Structure Theory

    4.4 The Classical Lie Algebras

    4.5 Determination of the Simple Lie Algebras over C

    4.6 Representations with a Highest Weight

    4.7 Representations of Semisimple Lie Algebras

    4.8 Construction of a Semisimple Lie Algebra from its Cartan Matrix

    4.9 The Algebra of Invariant Polynomials ON a Semisimple Lie Algebra

    4.10 Infinitesimal Characters

    4.11 Compact and Complex Semisimple Lie Groups

    4.12 Maximal Tori of Compact Semisimple Groups

    4.13 An Integral Formula

    4.14 The Character Formula of H.Weyl

    4.15 Appendix.Finite Reflection Groups

    Exercises

    Bibliography

    Index


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