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math.QA2000
On abelian generalized vertex algebras
Haisheng Li
This paper studies the algebraic aspect of a general abelian coset theory with a work of Dong and Lepowsky as our main motivation. It is proved that the vacuum space (or th…
math.QA2000
Generalized vertex algebras generated by parafermion-like vertex operators
Yongcun Gao, Haisheng Li
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] wi…
math.QA2000
The regular representations and the algebras
Haisheng Li
For a vertex operator algebra , the regular representations are related to the -algebras and their bimodules, and induced -modules from -modules are defin…