Journal of Lie Theory

no. 2
On Filiform and 2-Filiform Leibniz Algebras of Maximum Length
Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 335-350
Leibniz algebras appear as a generalization of Lie algebras. The classification of naturally graded p-filiform Lie algebras is known. Several authors have studied the naturally graded p-filiform Leibniz algebras for any p with p ≥ 0.
J. R. Gómez, A. Jiménez-Merchán and J. Reyes ["Filiform Lie algebras of maximum length", Extracta Mathematicae 16 (2001) 405--421] have investigated families of nilpotent Lie algebras with other types of non-natural gradation, a gradation with a large number of subspaces. The algebras with maximum number of subspaces in the gradation will be called maximum length algebras.
We deal with the classification of filiform and 2-filiform Leibniz algebras of maximum length.
DOI: 10.5802/jolt.497
Classification: 17A32, 17B30
Keywords: Leibniz algebras, naturally graded algebras 
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     author = {J. M. Cabezas and L. M. Camacho and I. M. Rodr{\'\i}guez},
     title = {On {Filiform} and {2-Filiform} {Leibniz} {Algebras} of {Maximum} {Length}},
     journal = {Journal of Lie Theory},
     pages = {335--350},
     year = {2008},
     volume = {18},
     number = {2},
     doi = {10.5802/jolt.497},
     zbl = {1160.17002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.497/}
}
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J. M. Cabezas; L. M. Camacho; I. M. Rodríguez. On Filiform and 2-Filiform Leibniz Algebras of Maximum Length. Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 335-350. doi: 10.5802/jolt.497

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