• Title of article

    Rational vertex operator algebras are finitely generated

  • Author/Authors

    Chongying Dong، نويسنده , , Wei Zhang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    5
  • From page
    2610
  • To page
    2614
  • Abstract
    It is proved that any vertex operator algebra for which the image of the Virasoro element in Zhuʹs algebra is algebraic over complex numbers is finitely generated. In particular, any vertex operator algebra with a finite-dimensional Zhuʹs algebra is finitely generated. As a result, any rational vertex operator algebra is finitely generated.
  • Keywords
    Vertex operator algebras
  • Journal title
    Journal of Algebra
  • Serial Year
    2008
  • Journal title
    Journal of Algebra
  • Record number

    698784