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Infinite dimensional Lie algebras
monograph
Author(s):
Victor G. Kac
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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Book
ISBN:
9780511626234
Publication date (Print):
1990
Publication date (Online):
2009
DOI:
10.1017/CBO9780511626234
SO-VID:
34e23cff-5ce8-4205-8d73-ae165c7e9894
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Book chapters
pp. ix
Introduction
pp. 1
Basic Definitions
pp. 16
The Invariant Bilinear Form and the Generalized Casimir Operator
pp. 30
Integrable Representations of Kac–Moody Algebras and the Weyl Group
pp. 47
A Classification of Generalized Cartan Matrices
pp. 59
Real and Imaginary Roots
pp. 79
Affine Algebras: the Normalized Invariant Form, the Root System, and the Weyl Group
pp. 96
Affine Algebras as Central Extensions of Loop Algebras
pp. 125
Twisted Affine Algebras and Finite Order Automorphisms
pp. 145
Highest-Weight Modules over Kac–Moody Algebras
pp. 171
Integrable Highest-Weight Modules: the Character Formula
pp. 190
Integrable Highest-Weight Modules: the Weight System and the Unitarizability
pp. 216
Integrable Highest-Weight Modules over Affine Algebras. Application to η-Function Identities. Sugawara Operators and Branching Functions
pp. 248
Affine Algebras, Theta Functions, and Modular Forms
pp. 292
The Principal and Homogeneous Vertex Operator Constructions of the Basic Representation. Boson–Fermion Correspondence. Application to Soliton Equations
pp. 367
References
pp. 399
Conference Proceedings and Collections of Papers
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