Infinite-Dimensional Lie Algebras

Front Cover
Cambridge University Press, Aug 26, 1994 - Mathematics - 400 pages
0 Reviews
This is the third, substantially revised edition of this important monograph. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chapter 1 Basic Definitions
1
Chapter 2 The Invariant Bilinear Form and the Generalized Casimir Operator
16
Chapter 3 Integrable Representations of KacMoody Algebras and the Weyl Group
30
Chapter 4 A Classification of Generalized Cartan Matrices
47
Chapter 5 Real and Imaginary Roots
59
the Normalized Invariant Form the Root System and the Weyl Group
79
Chapter 7 Affine Algebras as Central Extensions of Loop Algebras
96
Chapter 8 Twisted Affine Algebras and Finite Order Automorphisms
125
the Character Formula
171
the Weight System and the Unitarizability
190
Chapter 12 Integrable HighestWeight Modules over Affine Algebras Application to rjFunction Identities Sugawara Operators and Branching Functions
216
Chapter 13 Affine Algebras Theta Functions and Modular Forms
248
Chapter 14 The Principal and Homogeneous Vertex Operator Constructions of the Basic Representation BosonFermion Correspondence Application t...
292
Index of Notations and Definitions
353
References
367
Conference Proceedings and Collections of Papers
399

Chapter 9 HighestWeight Modules over KacMoody Algebras
145

Other editions - View all

Common terms and phrases

References to this book

Loop Groups
Andrew Pressley,Graeme Segal
No preview available - 1988
All Book Search results »

Bibliographic information