It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the Lepowsky
Certain Generating Subspaces for Vertex Operator Algebras
β Scribed by Martin Karel; Haisheng Li
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Minimal generating subspaces of ''weak PBW type'' for vertex operator algebras are studied and a procedure is developed for finding such subspaces. As applications, some results on generalized modules are obtained for vertex operator algebras that satisfy a certain condition, and a minimal generating space of weak PBW type is produced for V with L any positive-definite even lattice.
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