Generalized vertex algebras generated by parafermion-like vertex operators

Details Generalized vertex algebras generated by parafermion-like vertex operators Generalized vertex algebras generated by parafermion-like vertex operators

2000-06-14

arxiv.org/abs/math/0006104v1

Mathematics

Quantum Algebra

Latex, 31 pages

Scientific paper

It is proved that for a 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 [DL2] with W as a natural module. This result
generalizes a result of [Li2]. As an application, generalized vertex algebras
are constructed from Lepowsky-Wilson's Z-algebras of any nonzero level.

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