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| VERTEX OPERATOR ALGEBRAS AND THE MONSTER, 134
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To order this title, and for more information, click here
By
Igor Frenkel, Yale University, New Haven, Connecticut
James Lepowsky, Rutgers University
Arne Meurman, University of Stockholm
Included in series
Pure and Applied Mathematics,
Description
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."
Audience
Research mathematicians, mathematical physicists, and graduate students.
Contents
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.
| Bibliographic details |
Hardbound, 508 pages, publication date: MAR-1989
ISBN-13: 978-0-12-267065-7
ISBN-10: 0-12-267065-5
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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EUR 87.95
GBP 74.99
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Last update: 4 Sep 2009
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