Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory

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Providence 2002 Trade paperback New. No dust jacket as issued. Absolutely brand new (never opened)! ! -ships immediately 334 p. Contemporary Mathematics., No. 297. Audience: ... Professional and scholarly. Read more Show Less

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Brand new. We distribute directly for the publisher. Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional ... Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, "Infinite-Dimensional Lie Theory and Conformal Field Theory", held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field.This conference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlighted applications to conformal field theory, integrable and disordered systems.Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers. Read more Show Less

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Overview

Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ''Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. This conference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlighted applications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

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Editorial Reviews

From The Critics
Mathematicians and physicists from a number of countries exchange views on the representation theory of affine, quantum affine, extended affine Lie algebras and Lie superalgebras, and applications to conformal field theory and integrable and disordered systems. The 14 papers discuss such topics as symmetric functions and representations of quantum affine algebras, Lie algebra automorphisms in conformal field theory, and weak modules and logarithmic intertwining operators for vertix operator algebras. They are not indexed. Annotation c. Book News, Inc., Portland, OR
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Product Details

  • ISBN-13: 9780821827161
  • Publisher: American Mathematical Society
  • Publication date: 8/5/2002
  • Series: Contemporary Mathematics Series , #297
  • Pages: 334
  • Product dimensions: 70.00 (w) x 10.25 (h) x 7.50 (d)

Table of Contents

Talks Presented
Preface
Vertex Operator Algebras and the Representation Theory of Toroidal Algebras 1
Symmetric Functions and Representations of Quantum Affine Algebras 27
Two Realizations of Toroidal sl[subscript 2]([actual symbol not reproducible]) 47
Vertex Lie Algebras, Vertex Poisson Algebras and Vertex Algebras 69
Type A Fusion Rules from Elementary Group Theory 97
Lie Algebra Automorphisms in Conformal Field Theory 117
On Lepowsky-Wilson's Z-Algebra 143
Scattering Rules in Soliton Cellular Automata Associated with Crystal Bases 151
Algebra Versus Analysis in Statistical Mechanics and Quantum Field Theory 183
Weak Modules and Logarithmic Intertwining Operators for Vertex Operator Algebras 201
Conjugate Bailey Pairs 227
Irreducibility of Affine Hecke Algebra Modules Induced from Specht Modules 257
Algebraic Structures behind Hilbert Schemes and Wreath Products 271
Some Generalizations of Genus Zero Two-Dimensional Conformal Field Theory 297
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