Modules of the Intermediate Series over Not-finitely Graded Lie Algebras W(Γ)

Modules of the Intermediate Series over Not-finitely Graded Lie Algebras W(Γ)
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DOI:
10.1142/s1005386721000250
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发表时间:
2021
期刊:
Algebra Colloquium
影响因子:
--
通讯作者:
Xiaoqing Yue
Xiaoqing Yue
中科院分区:
--
文献类型:
--
作者:
Yadi Wu(项目组成员);Xiaoqing Yue

文献摘要

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Let [Formula: see text] be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis [Formula: see text], which satisfies relations [Formula: see text] and [Formula: see text]. In this paper, [Formula: see text]-modules of the intermediate series satisfying some conditions are constructed and classified. We also obtain modules of the intermediate series over the related Lie superalgebra.