Lectures On Infinite-dimensional Lie Algebra

By: Minoru Wakimoto

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Paperback | 30 October 2001

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456 Pages

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The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three excellent books on it, written by Victor G Kac. This book begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance and are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine Lie algebras. Since these topics are important not only in themselves but also in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations.

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Non-Fiction Mathematics Algebra Science Physics Particle & High-Energy Physics Combinatorics & Graph Theory Mathematical Foundation Set Theory Booktopia Publisher Services World Scientific Publishing

Preface
Preliminaries on Affine Lie Algebras	p. 1
Characters of Integrable Representations	p. 31
Principal Admissible Weights	p. 75
Residue of Principal Admissible Characters	p. 113
Characters of Affine Orbifolds	p. 153
Operator Calculus	p. 175
Branching Functions	p. 239
W-algebra	p. 287
Vertex Representations for Affine Lie Algebras	p. 321
Soliton Equations	p. 385
Bibliography	p. 429
Index	p. 441
Table of Contents provided by Blackwell. All Rights Reserved.

Lectures On Infinite-dimensional Lie Algebra

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