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Vertex operator algebras and operads

In: The Gelfand Mathematical Seminars, 1990–1992

Author

Listed:
  • Yi-Zhi Huang

    (University of Pennsylvania, Department of Mathematics)

  • James Lepowsky

    (Institute for Advanced Study, School of Mathematics
    Rutgers University, Department of Mathematics)

Abstract

The notion of vertex operator algebra arose in the vertex operator construction of the Monster (see [FLM1], [B1] and [FLM2]). The algebraic theory of vertex operator algebras provides deep conceptual understanding of many (but not yet all) of the phenomena of monstrous moonshine (see [CN]) and at the same time establishes a solid foundation for the algebraic aspects of conformai field theory.

Suggested Citation

  • Yi-Zhi Huang & James Lepowsky, 1993. "Vertex operator algebras and operads," Springer Books, in: Israel M. Gelfand & Lawrence Corwin & James Lepowsky (ed.), The Gelfand Mathematical Seminars, 1990–1992, pages 145-161, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0345-2_9
    DOI: 10.1007/978-1-4612-0345-2_9
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