Book contents
- Frontmatter
- Contents
- 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
Chapter 5 - Real and Imaginary Roots
Published online by Cambridge University Press: 04 August 2010
- Frontmatter
- Contents
- 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
Summary
- Type
- Chapter
- Information
- Infinite-Dimensional Lie Algebras , pp. 59 - 78Publisher: Cambridge University PressPrint publication year: 1990