Geodesic
Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N
The electronic journal of linear algebra, Tome 21 (2010), pp. 43-62.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper obtains all solvable 3-Lie algebras with the m-dimensional filiform 3-Lie algebra N (m $\geq 5$) as a maximal hypo-nilpotent ideal, and proves that the m-dimensional filiform 3-Lie algebra N can't be as the nilradical of solvable non-nilpotent 3-Lie algebras. By means of one dimensional extension of Lie algebras to the 3-Lie algebras, we get some classes of solvable Lie algebras directly.
Classification : 17B05, 17D99
Keywords: 3-Lie algebra, hypo-nilpotent ideal, filiform n-Lie algebra 
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     author = {Bai, Rui-Pu and Shen, Cai-Hong and Zhang, Yao-Zhong},
     title = {Solvable {3-Lie} algebras with a maximal hypo-nilpotent ideal {N}},
     journal = {The electronic journal of linear algebra},
     pages = {43--62},
     publisher = {mathdoc},
     volume = {21},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__21__a8/}
}
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Bai, Rui-Pu; Shen, Cai-Hong; Zhang, Yao-Zhong. Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N. The electronic journal of linear algebra, Tome 21 (2010), pp. 43-62. http://geodesic.mathdoc.fr/item/ELA_2010__21__a8/