New simple Virasoro modules from Weyl algebra modules
New simple Virasoro modules from Weyl algebra modules
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DOI：
10.1016/j.jalgebra.2022.06.021
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发表时间：
2022-07
影响因子：
0.9
通讯作者：
Shujuan Li;Mengyao Qin;Xiangqian Guo
中科院分区：
文献类型：
--
作者：
Shujuan Li;Mengyao Qin;Xiangqian Guo
利用1次Weyl代数K上的模P和Virasoro代数正部分上的模V构造了Virasoro代数上的一类模N（P，V）.这推广了[22]中的构造，并提供了Virasoro模块的许多已知示例的统一描述，例如[24]，[22]，[3]，[23]。得到了N（P，V）是单模的充要条件，并确定了这些模的同构类。最后，我们将模N（P，V）与其它已知的Virasoro单模进行了比较，得出它们是新的一般单模的结论.
In this paper, we construct a class of modules N (P, V) over the Virasoro algebra from modules P over the degree-1 Weyl algebra K and modules V over the positive part of the Virasoro algebra. This generalizes a construction in [22] and provides a unified description of many known examples of Virasoro modules, for example, in [24],[22],[3],[23]. We obtain the necessary and sufficient conditions for N (P, V) to be simple and also determine the isomorphism class of these modules. At the end of the paper, we compare the modules N (P, V) with other known simple Virasoro modules, concluding that they are new simple modules in general.