| 王恒太,刘志泽,罗迪凡.严格上三角矩阵李代数的李triple导子代数[J].南华大学学报(自然科学版),2011,25(3):66~67.[WANG Heng-tai1,LIU Zhi-ze2,LUO Di-fan1.On Triple Derivation Algebra of a Class of Lie Algebras[J].Journal of University of South China(Science and Technology),2011,25(3):66~67.] |
| 严格上三角矩阵李代数的李triple导子代数 |
| On Triple Derivation Algebra of a Class of Lie Algebras |
| 投稿时间：2011-07-12 |
| DOI： |
| 中文关键词: 严格上三角矩阵李代数 李导子 李triple导子 |
| 英文关键词:Lie algebra of strictly upper triangular matrices Lie derivation Lie triple derivation |
| 基金项目: |
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| 摘要点击次数: 766 |
| 全文下载次数: 1276 |
| 中文摘要: |
| 研究严格上三角矩阵李代数N的李triple导子代数TDerN的结构，证明了它是一个可解李代数，并且给出了其导子代数DerN和李triple导子代数之间的维数差，从而证明了其导子代数是李triple导子代数的真子代数. |
| 英文摘要: |
| In this paper we investigate the structure of TDerN and prove that it is a solvable Lie algebra,where N is the Lie algebra of strictly upper triangular n×n matrices over complex number field.The codimension of the derivation algebra DerN in TDerN is also determined.And then we obtain that DerN is the proper subalgebra of TDerN. |
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