Vertex Operator Algebras and the Monster

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
Cover of the book Vertex Operator Algebras and the Monster by Igor Frenkel, James Lepowsky, Arne Meurman, Elsevier Science
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Author: Igor Frenkel, James Lepowsky, Arne Meurman ISBN: 9780080874548
Publisher: Elsevier Science Publication: May 1, 1989
Imprint: Academic Press Language: English
Author: Igor Frenkel, James Lepowsky, Arne Meurman
ISBN: 9780080874548
Publisher: Elsevier Science
Publication: May 1, 1989
Imprint: Academic Press
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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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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