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书名:无穷维李代数:第3版=Infinite dimensional Lie algebras,Third Edition:英文

无穷维李代数:第3=Infinite dimensional Lie algebrasThird Edition:英文

Σ887

(苏)维克多·卡茨(Victor G.Kac)著

哈尔滨工业大学出版社

787mm×1092mm 1/16 印张27.5 字数559千字

20183月第1 20183月第1次印刷

ISBN 9787-5603–7261-7

98.00





【目    录】

Introduction

Notational Conventions

Chapter 1. Basic Definitions

Chapter 2. The Invariant Bilinear Form and the Generalized Casimir Operator

Chapter 3. Integrable Representations of Kac-Moody Algebras and the Weyl Group

Chapter 4. A Classification of Generalized Cartan Matrices

Chapter 5. Real and Imaginary Roots

Chapter 6. Affine Algebras: the Normalized Invariant

Form, the Root System, and the Weyl Group

Chapter 7. Affine Algebras as Central Extensions of Loop Algebras

Chapter 8. Twisted Affine Algebras and Finite Order Automorphisms

Chapter 9. Highest-Weight Modules over Kac-Moody Algebras

Chapter 10. Integrable Highest-Weight Modules:

the Character Formula

Chapter 11. Integrable Highest-Weight Modules:

the Weight System and the Unitarizability

Chapter 12. Integrable Highest Weight Modules over Affine

Algebras. Application to η-Function Identities.

Sugawara Operators and Branching Functions

Chapter 13. Affine Algebras, Theta Functions, and Modular Forms

Chapter 14. The Principal and Homogeneous Vertex Operator

Constructions of the Basic Representation. Boson-Fermion Correspondence. Application to Soliton Equations

Index of Notations and Definitions

References

Conference Proceedings and Collections of Papers

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