We give a new construction of functors from the category of modules for theassociative algebras $A_n(V)$ and $A_g(V)$ associated with a vertex operatoralgebra $V$, defined by Dong, Li and Mason, to the category of admissible$V$-modules and admissible twisted $V$-modules, respectively, using the methoddeveloped in the joint work \cite{HY1} with Y.-Z. Huang. The functors werefirst constructed by Dong, Li and Mason, but the importance of the new method,as in \cite{HY1}, is that we can apply the method to study objects without thecommutator formula in the representation theory of vertex operator algebras.
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机译：我们给出了新的函子的构造，从与代算子代数$ V $（由Dong，Li和Mason定义）相关的关联代数$ A_n（V）$和$ A_g（V）$的模块类别到可容许的类别$ V $ -modules和允许的扭曲$ V $ -modules，分别使用与Y.-Z联合进行的\ cite {HY1}开发的方法。黄。这些函子最初是由Dong，Li和Mason构造的，但是像\ cite {HY1}中一样，这种新方法的重要性在于，在顶点算子代数的表示理论中，我们可以将该方法用于研究没有换向器公式的对象。
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