Loop Virasoro Lie conformal superalgebra
Loop Virasoro Lie conformal superalgebra
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DOI：
10.1080/03081087.2017.1287845
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发表时间：
2018-01
影响因子：
1.1
通讯作者：
Xiansheng Dai;Jianzhi Han
中科院分区：
文献类型：
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作者：
Xiansheng Dai;Jianzhi Han
构造了与loop超Virasoro代数相关联的loop Virasoro共形超代数.完全确定了的共形超导子代数，证明了它是由内超导子组成的。并对秩为2的非平凡自由模和自由分次模进行了分类.我们还给出了二秩不可约自由模和每个二秩自由分次模的所有不可约子模的分类。
The loop Virasoro conformal superalgebra associated with the loop super-Virasoro algebra is constructed in the present paper. The conformal superderivation algebra of is completely determined, which is shown to consist of inner superderivations. And nontrivial free and free -graded -modules of rank two are classified. We also give a classification of irreducible free -modules of rank two and all irreducible submodules of each free -graded -module of rank two.