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3-李代数的包络B-代数(英文)

Enveloping B-algebras of 3-Lie Algebras
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摘要 定义并构造了3-李代数的包络B-代数,研究了3-李代数的标准包络B-代数的结构,证明了3-李代数是单3-李代数的充分必要条件是其标准的包络B-代数SB(L)_θ是单的. B-algebras and enveloping B-algebras of 3-Lie algebras are introduced, and enveloping B-algebras of 3-Lie algebras are constructed. The structures of standard enveloping B-algebras of 3-Lie algebras are studied, and it is proved that the 3-Lie algebra L is simple if and only if its standard enveloping B-algebra SB(L)θ is simple.
出处 《数学进展》 CSCD 北大核心 2016年第2期211-220,共10页 Advances in Mathematics(China)
基金 Supported by NSFC(No.11371245) the Natural Science Foundation of Hebei Province(No.2014201006)
关键词 3-李代数 B-代数 对合 包络B-代数 3-Lie algebra B-algebra involution enveloping B-algebra
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参考文献7

  • 1Bai, R.P., An, H.W. and Li, Z.H., Centroid structures of n-Lie algebras, Linear Algebra Appl., 2009, 430(1): 229-240.
  • 2Burdujan, I., A universal enveloping algebra for a Lie triple system, In: Proceedings of the 3rd International Colloquium "Mathematics in Engineering and Numerical Physics", Bucharest, Romania, 2004, 59-71.
  • 3Filippov, V.T., Enveloping algebras of triple systems and algebras, Algebra Logika, 1990~ 29(1): 67-81.
  • 4Filippov, V.T., Enveloping anticommutative triple systems and 3-Lie algebras, Algebra Logika, 1990, 29(2): 241-257.
  • 5Filippov, V.T., n-Lie algebras, Sibirsk. Mat. Zh., 1985, 26(6): 126-140.
  • 6Lister, W.G., A structure theory of Lie triple system, Trans. Amer. Ma$h. Soc., 1952, 72(2): 217-242.
  • 7Zhang, Z.X., Shi, Y.Q. and Zhao, L.N., Invariant symmetric bilinear forms on Lie triple systems, Comm. Algebra, 2002, 30(11): 5563-5573.

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