On some properties of Hall elements in the free nonassociative algebra

被引：0
作者：
A. Patsourakos
机构：
[1] Dekelia Air Force Base,Hellenic Air Force Academy
来源：
Acta Mathematica Hungarica | 2008年 / 118卷
关键词：
free nonassociative algebras; free Lie-algebras; Hall elements; 17B01; 17B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study certains aspects of a particular Hall set constructed with respect to the alpabetical order. In our main result we show how this Hall set leads to the construction of a family of generators of the kernel of “from right to left Lie bracketing” mapping. This construction is based on certain remarkable properties of these generators.
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页码：199 / 207
页数：8
相关论文
共 4 条
  • [1] Hall M.(1950)A basis for free Lie rings and higher commutators in free groups Proc. Amer. Math. Soc. 1 575-581
  • [2] Labute J. P.(1978)Free Lie algebras as modules over their enveloping algebras Proc. Amer. Math. Soc. 68 135-139
  • [3] Patsourakos A.(1987)Sur la representation adjointe d’une algèbre de Lie libre Comm. Algebra 15 2199-2207
  • [4] Patsourakos A.(1994)Sur la representation adjointe d’une algèbre de Lie libre II Ann. Inst. Fourier (Grenoble) 44 387-400
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