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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Frenkel, Igor
Otros Autores: Lepowsky, J. (James), Meurman, Arne
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, �1988.
Colección:Pure and applied mathematics (Academic Press) ; 134.
Temas:
Vertex operator algebras.
Representations of algebras.
Superstring theories.
Finite groups.
Modular functions.
Operator algebras.
Repr�esentations des alg�ebres.
Supercordes (Physique nucl�eaire)
Groupes finis.
Fonctions modulaires.
Alg�ebres d'op�erateurs.
Alg�ebres d'op�erateurs 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.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • 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.

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