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Modules and induced modules of 3-Lie algebra Aω δ

BAI Ruipu MA Yue

白瑞蒲, 马越. 3-李代数Aω δ的模与诱导模[J]. 华东师范大学学报(自然科学版), 2021, (3): 8-16. doi: 10.3969/j.issn.1000-5641.2021.03.002
引用本文: 白瑞蒲, 马越. 3-李代数Aω δ的模与诱导模[J]. 华东师范大学学报(自然科学版), 2021, (3): 8-16. doi: 10.3969/j.issn.1000-5641.2021.03.002
BAI Ruipu, MA Yue. Modules and induced modules of 3-Lie algebra Aω δ[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 8-16. doi: 10.3969/j.issn.1000-5641.2021.03.002
Citation: BAI Ruipu, MA Yue. Modules and induced modules of 3-Lie algebra Aω δ[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 8-16. doi: 10.3969/j.issn.1000-5641.2021.03.002

3-李代数Aω δ的模与诱导模

doi: 10.3969/j.issn.1000-5641.2021.03.002
详细信息
  • 中图分类号: O152.5

Modules and induced modules of 3-Lie algebra Aω δ

  • 摘要: 对特征零域$\mathbb F$上无限维单$3$-李代数$A_{\omega}^{\delta}$, 构造了两类$A_{\omega}^{\delta}$的无限维中间序列模$(V, \rho_{\lambda, 0})=T_{\lambda, 0}$$(V, \rho_{\lambda, 1})=T_{\lambda, 1}$和一类无限维ad$(A_{\omega}^{\delta})$-模$(V, \psi_{\lambda,\mu})$, 其中$\lambda, \mu\in \mathbb F$, 并对3-李代数$A_{\omega}^{\delta}$-模与诱导模之间的关系进行了研究. 证明了只有两类无限维模$(V, \psi_{\lambda,1})$$(V, \psi_{\lambda, 0})$是诱导模.
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出版历程
  • 收稿日期:  2020-02-18
  • 刊出日期:  2021-05-01

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