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
Corporate Author:	ScienceDirect (Online service)
Other Authors:	Lepowsky, J. (James), Meurman, Arne
Format:	eBook
Language:	English
Published:	Boston : Academic Press, ©1988.
Series:	Pure and applied mathematics (Academic Press) ; 134.
Subjects:	Vertex operator algebras. Representations of algebras. Superstring theories. Finite groups. Modular functions. Operator algebras. Représentations des algèbres. Supercordes (Physique nucléaire) Groupes finis. Fonctions modulaires. Algèbres d'opérateurs. Algèbres d'opérateurs des sommets. MATHEMATICS > Algebra > Linear. Operator algebras Finite groups Modular functions Representations of algebras Superstring theories Vertex operator algebras Snaartheorie. Eindige groepen. Modulaire functies. Roosterpunten. Operatoren. Operatorenvergelijkingen. Lie-algebra's. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Lie algebras
Formal calculus
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.