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Derivation Algebras of Real n-Lie Algebras

Derivation Algebras of Real n-Lie Algebras
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摘要 In this paper we mainly study derivation algebras of n-Lie algebras. We give the detailed structural description of derivation algebras of n + 1 dimensional n-Lie algebras over the real field. In this paper we mainly study derivation algebras of n-Lie algebras. We give the detailed structural description of derivation algebras of n + 1 dimensional n-Lie algebras over the real field.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第2期302-308,共7页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China (No. 10871192) and the Natural Science Foundation of Hebei Province (No. A2007000138).
关键词 实数域 N-LIE代数 导子代数 数学分析 n-Lie algebra derivations module
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  • 1Filippov V T. n-Lie algebras [J]. Sib mat Zh, 1985, 26(6): 126-140.
  • 2Kasymov Sh M. On a theory of n-Lie algebras [J]. Algebra Logika, 1987, 26(3), 277-297.
  • 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. .
  • 4James E. Humphreys, Introduction to Lie Algebras and Representation Theory [M]. Springer-verlag New York Inc, 1972.

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