Construction of vertex operator algebras from commutative associative algebras

References

• Borcherds , R. 1986 . Vertex algebras. Kac-Moodv algebras, and the .Monster . Pro.Natl.Acad.Sci.USA , 83 : 3068 – 3071 .
   PubMed Web of Science ®Google Scholar
• Dong , C. and Lepowsky , J. 1993 . “ Generalized vertex algebras and relative vertex operators ” . In Progress in math , Boston : Birkhauser .
   Google Scholar
• Dong , C. , Lm , Z. and Mason , G. 1993 . On vertex operator algebras as ,sl₂-module , preprint
   Google Scholar
• Frenkel , I.B. , Huang , Y. and Lepowsky , J. 1993 . On axiomatic approaches to vertex operator algebras and modules . Mem.Amer.Math.Soc , 104
   Google Scholar
• Frenkel , I.B. , Lepowsky , J. and Meurman , A. 1988 . Vertex operator algebras and the Monster , New York : Academic Press .
   Google Scholar
• Frenkel , I.B. and Zhu , Y. 1992 . Vertex operator algebras associated to representations of affine and Virasoro algebra . Duke Math. J , 66 ( 1 ) : 123 – 168 .
   Web of Science ®Google Scholar
• Griess , R.L. 1982 . The Friendly Giant . Invent.Math , 69 ( 1 ) : 1 – 102 .
   Web of Science ®Google Scholar
• Harada , K. and Lam , C.H. 1995 . Inverses of Virasoro operators . Communications in Algebra , 23 ( 12 ) : 4405 – 4413 .
   Web of Science ®Google Scholar
• Li , H.S. 1994 . Local systems of vertex operators . vertex superalgebras and Modules , 23 ( 12 ) preprint
   Google Scholar
• Lian , B.H. 1992 . On the classification of simple vertex operator algebras , 23 ( 12 ) preprint
   Google Scholar