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李三系的幂零性 被引量:1

Nilpotency of lie triple system
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摘要 引入了幂零李三系的概念,将李代数的幂零性的某些结论推广到李三系中,得出了幂零李三系的几 个等价条件、李三系的Engel定理和幂零李三系的两个结果。 This paper introduces the concept of nilpotent Lie triple systems, and extends some conclusions of the nilpotency from Lie algebras to Lie triple systems. And then gets several equivalent conditions, theorem of Engle and two results of the Lie triple systems.
出处 《华北电力大学学报(自然科学版)》 CAS 北大核心 2004年第1期110-112,共3页 Journal of North China Electric Power University:Natural Science Edition
关键词 李三系 幂零性 李代数 向量空间 等价条件 Engel定理 Lie triple system nilpotent Lie triple system Killing form derivation ideal
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参考文献8

  • 1Meyberg K. "Lectures on algebras and triple systems" lecture notes[M]. Charlottesville: The University of Virginia, 1972.
  • 2Lister W G. A structure theory of Lie triple systems [J].Trans Amer Math Soc, 1952,72: 217-242.
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同被引文献5

  • 1LISTER W G. A structure theory of Lie triple systems[J]. Trans Amer Math Soc, 1952, 72:217- 242.
  • 2KAMIYA N. The nil radical for Lie or anti-Lie triple systems[J]. J Alg, 1993, 158:226 - 232.
  • 3HOPKINS N C. Nilpotent ideals in Lie and anti-Lie triple systems[J]. J Alg, 1995, 178:480 -492.
  • 4MEYBERG K. Lecture on algebras and triple systems[ MJ. Virginia: University of Virginia, 1972.
  • 5JACOBSON N. Lie algebra[M]. New York: Inter Science Pablishers, 1962.

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