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Construction of vertex operator algebras from commutative associative algebras
Authors:Ching Hung Lam
Affiliation:Department of Mathematics , The Ohio State University , Columbus, Ohio, 43210
Abstract: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.
Keywords:
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