Pure and Applied Mathematics (Academic Press): Vertex Operator Algebras and the Monster (Hardcover)
Igor Frenkel; James Lepowsky; Arne Meurman
Elsevier Science
9780122670657
0-12-267065-5
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.
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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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