| 摘要: |
| 本文研究了一类特殊的可解李代数的Hom-结构, 此类李代数是一类具有自然阶化Filiform幂零根基nn,1的可解李代数. 在特征零代数闭域F上, 本文利用Hom-Jacobi等式计算了此类可解李代数的Hom-结构, 得到了这些Hom-结构的基底, 并且发现这些基底存在一定的相似之处. |
| 关键词: 可解李代数 Hom-结构 Filiform幂零根基 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:Supported by National Natural Science Foundation of China(12271085); Supported by National Natural Science Foundation of Heilongjiang Province(LH2022A019); Basic Scientiflc Research Operating Funds for Provincial Universities in Heilongjiang Province(2020_KYYWF_1018); Heilongjiang University Outstanding Youth Science Foundation(JCL202103); Heilongjiang University Educational and Teaching Reform Research Project(2024C43); Heilongjiang University Postgraduate Education Reform Project(JGXM_YJS_2024010). |
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| HOM-STRUCTURES ON A CLASS OF SOLVABLE LIE ALGEBRAS WITH FILIFORM NILRADICAL |
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ZHANG Ju-shuang1, YUAN Ji-xia1, ZHANG Shuang2
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1.School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China;2.School of Russian Studies, Heilongjiang University, Harbin 150080, China
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| Abstract: |
| In this paper, we study the Hom-structures of a special class of solvable Lie algebras with naturally graded flliform nilradical nn,1. Over an algebraically closed fleld F of zero characteristic, we calculate the Hom-structures of these solvable Lie algebras using the Hom-Jacobi identity, obtain the bases of these Hom-structures and observe that there are certain similarities among these bases. |
| Key words: solvable Lie algebras Hom-structures flliform nilradical |
