Geodesic
Thin Leibniz Algebras
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 251-261

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In the paper, analogs of $0$-filiform and filiform Leibniz algebras in the infinite-dimensional case are introduced and studied. It is proved that, to classify complex thin Leibniz algebras, it suffices to study some special transformations of bases.
Keywords: potentially nilpotent Leibniz algebra, filiform Leibniz algebra, thin Leibniz algebra, central series, affine variety, Zariski topology. 
@article{MZM_2006_80_2_a10,
     author = {B. A. Omirov},
     title = {Thin {Leibniz} {Algebras}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {251--261},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a10/}
}
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B. A. Omirov. Thin Leibniz Algebras. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 251-261. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a10/