中文摘要：

根据untwisted和twisted顶点算子张成的极大局部子空间能够定义顶点代数结构，考虑李代数sl（2，C）的仿射李代数的顶点算子表示VQ，VP，VP±1/6α1，发现VP，VP-1/6α1,VP＋1/6α1构成这些顶点代数的模，而这种顶点代数模结构可能在二维共形场论中有重要应用．

英文摘要：

According to constructions of vertex operator representations VQ, VP , VP±1/6α1 of affine Lie algebras associated to s 1（2, C ）, the paper finds that VP-1/6α1,VP＋1/6α1 are indeed modules of some vertex algebras on maximal local spaces spanned by untwisted and twisted vertex operators. These structures of muldes of vertex algebras may have important applications in the theory of two-dimensional conformal fields.