Loop Schr\"odinger-Virasoro Lie conformal algebra
Loop Schr\"odinger-Virasoro Lie conformal algebra
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DOI：
10.1142/s0129167x16500579
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发表时间：
2015-12
期刊：
影响因子：
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通讯作者：
Haibo Chen;Jianzhi Han;Yu-cai Su;Ying Xu
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文献类型：
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作者：
Haibo Chen;Jianzhi Han;Yu-cai Su;Ying Xu
本文引入了与loop Schr odinger-Virasoro李代数和扩展loop Schr odinger-Virasoro李代数相关的两类共形李代数.完全确定了这两个共形代数的共形导子、二上同调群。并对这两个共形代数上的秩为1的非平凡自由共形模和Z-分次自由中间级数模进行了分类
In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schr\"odinger-Virasoro Lie algebra and the extended loop Schr\"odinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and Z-graded free intermediate series modules over these two conformal algebras are also classified in the present paper