Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster
Author: Igor Frenkel
Publisher: Academic Press
Total Pages: 563
Release: 1989-05-01
Genre: Mathematics
ISBN: 0080874541

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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 functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."


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
Vertex Operator Algebras and the Monster
Language: en
Pages: 508
Authors: Igor Frenkel
Categories: Mathematics
Type: BOOK - Published: 1989-04-11 - 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
Vertex Operator Algebras and the Monster
Language: en
Pages: 508
Authors: Igor Frenkel
Categories: Mathematics
Type: BOOK - Published: 1989-04-11 - Publisher: Academic Press

GET EBOOK

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular
Vertex Algebras and Algebraic Curves
Language: en
Pages: 418
Authors: Edward Frenkel
Categories: Mathematics
Type: BOOK - Published: 2004-08-25 - Publisher: American Mathematical Soc.

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Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras ar
Spinor Construction of Vertex Operator Algebras, Triality, and $E^{(1)}_8$
Language: en
Pages: 158
Authors: Alex J. Feingold
Categories: Mathematics
Type: BOOK - Published: 1991 - Publisher: American Mathematical Soc.

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The theory of vertex operator algebras is a remarkably rich new mathematical field which captures the algebraic content of conformal field theory in physics. Id