本项目计划研究顶点算子代数的构造、分类和酉结构。其内容包含三个部分：在第一个部分中，我们计划分类effective中心荷小于1的、强正则的顶点算子代数。我们也计划考虑一类W-代数的有限扩张的分类。在第二个部分中，我们计划构造Virasoro顶点算子代数的一些例外扩张，以及仿射顶点算子代数的一些例外扩张，这些顶点算子代数的研究与第一部分中的分类有着紧密的联系。在第三个部分中，我们计划研究酉型顶点算子代数与强正则的顶点算子代数的联系。

This proposal concerns constructions, classifications and unitary structures of vertex operator algebras. It includes three parts: In the first part, we propose to classify strongly regular vertex operator algebras of effective central charge less than 1. We also propose to classify finite extensions of a class of W-algebras. In the second part, we propose to construct some exceptional extensions of Virasoro vertex operator algebras and affine vertex operator algebras. These vertex operator algebras have close relasions with the classification in the fisrt part. In the third part, we propose to study the relationship between unitary vertex operator algebras and strongly regular vertex operator algebras.