一类酉Virasoro顶点算子代数扩张的Zhu代数

Zhu Algebras of a Class of Unitary Virasoro Vertex Operator Algebras Extension

本文主要研究一类酉Virasoro顶点算子代数扩张的Zhu代数。Zhu在博士论文中证明了顶点算子代数的不可约模和顶点算子代数相应的Zhu代数的不可约模有一一对应关系,因此本文将通过其不可约模决定Zhu代数。

In this paper, we mainly study the Zhu algebras of one-of-a-kind unitary Virasoro vertex operator algebras. Zhu proved in his doctoral thesis that there is a one-to-one correspondence between the irreducible modules of vertex operator algebras and the corresponding Zhu algebras of vertex operator algebras. Therefore, in this paper, Zhu algebras are determined by their irreducible mod-ules.