Journal of Hebei University(Natural Science Edition) >

2010 , Vol. 30 >Issue 2: 113 - 115

DOI: https://doi.org/10.3969/j.issn.1000-1565.2010.02.001

Property of Nilpotent 3-Lie Algebras

  • BAI Rui-pu ,
  • LIU Zheng-jun
Expand

Online published: 2010-03-25

Fold

Abstract

The properties of upcenter series of 3-Lie algebras were studied. The relations between the class of nilpotent 3-Lie algebras and the dimensions of ideals with the upcenter series were privied. It is proved that the upcenter series are privied. It is proved that the upcenter series of every maximal subalgebra is completely determined by that of the nilpotent 3-Lie algebras.

Key words： 3-Lie algebra; coclass; nilpotency

Cite this article

BAI Rui-pu , LIU Zheng-jun . Property of Nilpotent 3-Lie Algebras[J]. Journal of Hebei University(Natural Science Edition), 2010 , 30(2) : 113 -115 . DOI: 10.3969/j.issn.1000-1565.2010.02.001

References

[1] FILIPPOV V T. N-Lie algebras [J]. Siberian Mathematical Journal 1985, 26(06).
[2] Rui Pu BAI, Liang Yun CHEN, Dao Ji MENG. The Frattini Subalgebra of n-Lie Algebras [J]. 2007.
[3] Williams, MP. NILPOTENT n-LIE ALGEBRAS [J]. Communications in algebra 2009, 6(6).
[4] HKAREN H, ERNEST S. Finite dimensional nilpotent lie algebras with isomorphic maximal subalgebras [J]. Communications in Algebra 2001, 29(06).
Options
Outlines

/

〈 〉