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Vertex Operator Algebras and the Monster
- 1st Edition, Volume 134 - March 28, 1989
- Imprint: Academic Press
- Authors: Igor Frenkel, James Lepowsky, Arne Meurman
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 9 4 5 4 - 7
- 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
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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."
Research mathematicians, mathematical physicists, and graduate students.
Lie Algebras. Formal Calculus: Introduction. Realizations of sl(2) by Twisted Vertex Operators. Realizations of sl(2) by Untwisted Vertex Operators. Central Extensions. The Simple Lie Algebras An, Dn, En. Vertex Operator Realizations of An, Dn, En. General Theory of Untwisted Vertex Operators. General Theory of Twisted Vertex Operators. The Moonshine Module. Triality. The Main Theorem. Completion of the Proof. Appendix: Complex Realization of Vertex Operator Algebras. Bibliography. Index of frequently used symbols. Index.
- Edition: 1
- Volume: 134
- Published: March 28, 1989
- Imprint: Academic Press
- Language: English
IF
Igor Frenkel
Affiliations and expertise
Yale University, New Haven, ConnecticutJL
James Lepowsky
Affiliations and expertise
Rutgers UniversityAM
Arne Meurman
Affiliations and expertise
University of StockholmRead Vertex Operator Algebras and the Monster on ScienceDirect