Construction of vertex operator algebras from commutative associative algebras

@article{Lam1996ConstructionOV,
  title={Construction of vertex operator algebras from commutative associative algebras},
  author={Ching Hung Lam},
  journal={Communications in Algebra},
  year={1996},
  volume={24},
  pages={4339-4360}
}
  • C. Lam
  • Published 1996
  • Mathematics
  • Communications in Algebra
Given a commutative associative algebra A with an associative form (’), we construct a vertex operator algebra V with the weight two space V2;≅ A If in addition the form (’) is nondegenerate, we show that there is a simple vertex operator algebra with V2;≅ A We also show that if A is semisimple, then the vertex operator algebra constructed is the tensor products of a certain number of Virasoro vertex operator algebras. 
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