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Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster

Hardcover

Series: Pure and Applied Mathematics, Book 134

AlgebraGeneral Mathematics

ISBN10: 0122670655
ISBN13: 9780122670657
Publisher: Academic Press
Published: Mar 28 1989
Pages: 508
Weight: 2.02
Height: 1.25 Width: 6.00 Depth: 9.00
Language: English
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.

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