Zhu理论的对偶理论
A dual theory of Zhu's theory
- Northwest University（西北大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文建立Zhu理论的对偶理论，研究分次顶点算子余代数的余结合余代数，并证明余有理性与对偶顶点算子代数的有理性的等价关系。
AI中文摘要：
我们建立了Zhu的$A(\mathcal {V})$-理论的对偶理论，即对于分次顶点算子余代数$V$，研究了余结合余代数$C(V)$，任意容许$V$-余模给出一个$C(V)$-余模，反之亦然。我们还证明了$V$是余有理的，即每个容许$V$-余模完全可约，当且仅当其对偶顶点算子代数$V'$是有理的。
英文摘要：
We establish a dual theory of Zhu's $A(\mathcal {V})$-theory, i.e., for a graded vertex operator coalgebra $V$, the coassociative coalgebra $C(V)$ are investigated, any admissible $V$-comodule gives a $C(V)$-comodule, and vice versa. We also prove that $V$ is corational, which means every admissible $V$-comodule is completely reducible, if and only if its dual vertex operator algebra $V'$ is rational.
