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(n+1)-维n-Lie代数的次导子代数

Subderivation Algebras of(n+1)-Dim n-Lie Algebras
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摘要 研究了特征2的代数闭域上(n+1)-维n-Lie代数的次导子代数的结构,并进一步讨论了导子代数与次导子代数的内在关系. The structure of subderivation algebras of (n+ 1)-dimensional n-Lie algebras over a algebraically closed field of characteristic 2 is studied. The relation between derivation algebras and subderivation algebras is investigated in the paper.
出处 《常熟理工学院学报》 2009年第4期12-15,共4页 Journal of Changshu Institute of Technology
基金 国家自然科学基金(10871192) 河北省自然基金(A2007000138)资助项目
关键词 N-LIE代数 导子 次导子 n-Lie algebra derivation subderivation
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参考文献3

  • 1Filippov V T. n-Lie algebras[J]. Sib Mat Zh, 1985, 26(6): 126-140.
  • 2Zhang Jian-hua, Wu Bao-wei, Cao Huai-xin. Lie triple derivations of nest algebras[J]. Linear Algebra and its Application, 2006, 416: 559-567.
  • 3Bai Rui-pu, Wang Xiao-ling, An Hong-wei. The structure of low dimensional n-Lie algebras over a field of characteristic2 [J]. Linear Algebra and its Application, 2008, 428: 1912-1920.

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