VERTEX OPERATOR ALGEBRAS ASSOCIATED TO THE VIRASORO ALGEBRA OVER AN ARBITRARY FIELD
VERTEX OPERATOR ALGEBRAS ASSOCIATED TO THE VIRASORO ALGEBRA OVER AN ARBITRARY FIELD
复制标题
与任意域上的 Virasoro 代数关联的顶点算子代数
DOI：
10.1090/tran/6529
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发表时间：
2016-07-01
影响因子：
1.3
通讯作者：
Ren, Li
中科院分区：
文献类型：
--
作者：
Dong, Chongying;Ren, Li
研究了特征不等于2的域F上Virasoro代数的顶点算子代数及其最高权模所对应的模.对顶点算子代数L（1/2，0）F的不可约模进行了分类.当F的特征不等于7时，证明了L（1/2，0）F的合理性.
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied. The irreducible modules of vertex operator algebra L(1/2,0)_F are classified. The rationality of L(1/2,0)_F is established if the characteristic of F is different from 7.