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Vertex Operator Algebras and the Monster, Vol 134. Pure and Applied Mathematics Part No. 134
Elsevier Science and Technology, May 1989, Pages: 508
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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