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The Gelfand Mathematical Seminars, 1990–1992 pp 145–161Cite as

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Vertex operator algebras and operads

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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.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Yi-Zhi Huang

  2. School of Mathematics, Institute for Advanced Study, Princeton, NJ, 08540, USA

    James Lepowsky

  3. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, USA

    James Lepowsky

Authors
  1. Yi-Zhi Huang
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  2. James Lepowsky
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, N.J., 08903, USA

    Israel M. Gelfand , Lawrence Corwin  & James Lepowsky ,  & 

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Huang, YZ., Lepowsky, J. (1993). Vertex operator algebras and operads. In: Gelfand, I.M., Corwin, L., Lepowsky, J. (eds) The Gelfand Mathematical Seminars, 1990–1992. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0345-2_9

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  • DOI: https://doi.org/10.1007/978-1-4612-0345-2_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6717-1

  • Online ISBN: 978-1-4612-0345-2

  • eBook Packages: Springer Book Archive

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