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Vertex Operator Algebras and the Monster

1st Edition, Volume 134 - March 28, 1989

Authors: Igor Frenkel, James Lepowsky, Arne Meurman

Language: English
Hardback ISBN:
9 7 8 - 0 - 1 2 - 2 6 7 0 6 5 - 7
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 8 7 4 5 4 - 8

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… Read more

Vertex Operator Algebras and the Monster

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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."