Vertex operator algebras and the Monster

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 alg...

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Bibliographic Details
Main Author: Frenkel, Igor
Other Authors: Lepowsky, J., Meurman, Arne
Format: eBook
Language:English
Published: Boston Academic Press 1988, 1988
Series:Pure and applied mathematics
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Description
Summary: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."
Physical Description:liii, 508 pages illustrations
ISBN:9780080874548