Vertex Operator Algebras and Related Areas

Vertex Operator Algebras and Related Areas
Author: M. J. Bergvelt
Publisher: American Mathematical Soc.
Total Pages: 246
Release: 2009-10-01
Genre: Mathematics
ISBN: 0821848402


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Vertex operator algebras were introduced to mathematics in the work of Richard Borcherds, Igor Frenkel, James Lepowsky and Arne Meurman as a mathematically rigorous formulation of chiral algebras of two-dimensional conformal field theory. The aim was to use vertex operator algebras to explain and prove the remarkable Monstrous Moonshine conjectures in group theory. The theory of vertex operator algebras has now grown into a major research area in mathematics. These proceedings contain expository lectures and research papers presented during the international conference on Vertex Operator Algebras and Related Areas, held at Illinois State University in Normal, IL, from July 7 to July 11, 2008. The main aspects of this conference were connections and interactions of vertex operator algebras with the following areas: conformal field theories, quantum field theories, Hopf algebra, infinite dimensional Lie algebras, and modular forms. This book will be useful for researchers as well as for graduate students in mathematics and physics. Its purpose is not only to give an up-to-date overview of the fields covered by the conference but also to stimulate new directions and discoveries by experts in the areas.


Vertex Operator Algebras and Related Areas
Language: en
Pages: 246
Authors: M. J. Bergvelt
Categories: Mathematics
Type: BOOK - Published: 2009-10-01 - Publisher: American Mathematical Soc.

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Vertex operator algebras were introduced to mathematics in the work of Richard Borcherds, Igor Frenkel, James Lepowsky and Arne Meurman as a mathematically rigo
Generalized Vertex Algebras and Relative Vertex Operators
Language: en
Pages: 207
Authors: Chongying Dong
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed a
Vertex Operator Algebras and the Monster
Language: en
Pages: 563
Authors: Igor Frenkel
Categories: Mathematics
Type: BOOK - Published: 1989-05-01 - Publisher: Academic Press

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This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular
Introduction to Vertex Operator Algebras and Their Representations
Language: en
Pages: 330
Authors: James Lepowsky
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical
Vertex Operator Algebras in Mathematics and Physics
Language: en
Pages: 265
Authors: Stephen Berman
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understo