Generalized Vertex Algebras and Relative Vertex Operators

Generalized Vertex Algebras and Relative Vertex Operators
Author: Chongying Dong
Publisher: Springer Science & Business Media
Total Pages: 207
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461203538


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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 as "complex analogues" of both Lie algebras and associative algebras. The monograph is written in a n accessible and self-contained manner, with detailed proofs and with many examples interwoven through the axiomatic treatment as motivation and applications. It will be useful for research mathematicians and theoretical physicists working the such fields as representation theory and algebraic structure sand will provide the basis for a number of graduate courses and seminars on these and related topics.


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
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 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
Moonshine - The First Quarter Century and Beyond
Language: en
Pages: 415
Authors: James Lepowsky
Categories: Mathematics
Type: BOOK - Published: 2010-06-03 - Publisher: Cambridge University Press

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This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.
Vertex Algebras for Beginners
Language: en
Pages: 209
Authors: Victor G. Kac
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conformal field th