华东师范大学学报（自然科学版）Issue(3)：8-16,9.DOI:10.3969/j.issn.1000-5641.2021.03.002
3-李代数Aδω的模与诱导模
Modules and induced modules of 3-Lie algebra Aδω
摘要
Abstract
For the infinite dimensional simple 3-Lie algebra Aδω over a field F of characteristic zero, we construct two infinite dimensional intermediate series modules (V,ρλ,0)=Tλ,0 and (V,ρλ,1)=Tλ,1 of Aδω as well as a class of infinite dimensional modules (V,ψλ,μ) of ad (Aδω) , where λ,μ∈F.The relation between 3-Lie algebra Aδω-modules and induced modules of ad(Aδω) are discussed. It is shown that only two of infinite dimensional modules, namely (V,ψλ,1) and (V,ψλ,0) , are induced modules.关键词
3-李代数-模/诱导模/中间序列模Key words
3-Lie algebra-module/induced module/intermediate series module分类
数理科学引用本文复制引用
白瑞蒲,马越..3-李代数Aδω的模与诱导模[J].华东师范大学学报（自然科学版）,2021,(3):8-16,9.基金项目
河北省自然科学基金(A2018201126) （A2018201126）
