| 一类可解李代数的分类可补李代数的结构(Ⅱ) |
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| 引用本文： | 王书琴.一类可解李代数的分类可补李代数的结构(Ⅱ)[J].华东师范大学学报(自然科学版),1992(4). |
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| 作者姓名： | 王书琴 |
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| 作者单位： | 哈尔滨师范大学 1991年为我校数学系访问学者 |
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| 摘 要： | 本文用生成元和定义关系的方法,对每个可解可补李代数给出一个定义矩阵.把两个李代数的同构归结为定义矩阵的等价,应用矩阵等价下标准型的理论,得到这类李代数的同构分类.
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| 关 键 词： | 定义矩阵 标准型 同构分类 |
On the Classification of the Solvable and Complemental Lie Algebras |
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| WANG SHUQIN.On the Classification of the Solvable and Complemental Lie Algebras[J].Journal of East China Normal University(Natural Science),1992(4). |
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| Authors: | WANG SHUQIN |
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| Institution: | Haerbin Normal University |
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| Abstract: | A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.The classification problem of the solvable complemental Lie algebras is reduced to the one of certain kind matrices.Applying the theory of matrices and equivalence relation, results of complete classification of the kind Lie algebras are obtained. |
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| Keywords: | defining matrix standard form isomorphous classification |
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