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一类5维3-Lie代数的内导子代数 被引量:1

Inner Derivation Algebras of A 5-dimensional 3-Lie Algebras
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摘要 在域Z2上对5维3-Lie代数dimA1=4的情况下的内导子进行讨论,并给出了其内导子的具体表示形式,研究了其内导子代数的结构。 The authors discuss the inner derivations of 5-dimensional 3-Lie algebras over the field Z2 when dimA^1 =4,and give the concrete expression of the inner derivations, and investigate the structure of the inner derivation algebras.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2008年第6期576-577,582,共3页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金资助项目(A2007000138) 河北大学自然科学基金资助项目(y2004034)
关键词 特征 5维3-Lie代数 内导子代数 character 5-dimensional 3-Lie algebra inner derivation algebra
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二级参考文献8

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  • 3Bal Ruipu, Zhang Zhixue, ect. The inner derivation algebras of (n + 1) dimensional n-Lie algebras[J].Comm in Algebra, 2000, 28(6): 2927-2934. . 被引量:1
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  • 6KASYMOV SH M.On a theory of n-Lie algebras[J].Algebra Logika,1987,26(3):277-297 被引量:1
  • 7BAI RUIPU,ZHANG ZHIXUE.The inner derivation algebras of (n + 1)-dimensional n-Lie algebras[J].Comm in Algebra,2000,28(6):2927-2934. 被引量:1
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共引文献27

同被引文献9

  • 1FILIPPOV V T. N-Lie algebras[J]. Siberian Mathematical Journal, 1985,26 (6) : 879-891. 被引量:1
  • 2KASYMOV S M. On a theory of n-Lie algebras[J]. Algebra Logika, 1987,26 (3) : 277-297. 被引量:1
  • 3BAI Ruipu, WANG Xiaoling,XIAO Wenying, et al. Structure of low dimensional n-Lie algebras over a field of characteristic 2[J]. Linear Algebra and Its Applications,2008,428(5-7) :1912-1920. 被引量:1
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  • 5BAI Ruipu, BAI Chengming, WANG Jinxiu. Realizations of 3-Lie algebras[ J]. Journal of Mathematical Physics, 2010,51 ( 6 ) 063505. 被引量:1
  • 6BAI Ruipu,SHEN Caihong, ZHANG Yaozhong. 3-Lie algebras with an ideal N[J]. Linear Algebra and its Applications, 2009,431 (5-7) :673-700. 被引量:1
  • 7BAI Ruipu,SONG Guojie. The classification of six-dimensional 4-Lie algebras[J]. Journal of Physics A: Mathematical and Theoretical, 2009,42(3) :035207. 被引量:1
  • 8JIN Yidong, LIU Wenli, ZHANG Zhixue. Real simple n-Lie algebras admitting metric structures[J]. Journal of Physics A: Mathematical and Theoretical, 2009,42 (48) : 485206. 被引量:1
  • 9CHEN Zhiqi, LIANG Ke. The decomposition of metric n-Lie algebras and the uniqueness[J]. Journal of Mathematical Physics,2010,51 (5) :053507. 被引量:1

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