Geodesic
Naturally Graded Leibniz Algebras with Characteristic Sequence $(n-m, m)$
Matematičeskie zametki, Tome 93 (2013) no. 5, pp. 746-763

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We consider the classification problem for special classes of nilpotent Leibniz algebras. Namely, we consider “naturally” graded nilpotent $n$-dimensional Leibniz algebras for which the right multiplication operator (by the generic element) has two Jordan blocks of dimensions $m$ and $n-m$. Earlier, the problem of classifying such algebras was studied for $m4$. The present paper continues these studies for the case $m\ge4$.
Keywords: nilpotent Leibniz algebra, naturally graded Leibniz algebra, right multiplication operator, Lie algebra, nil-filiform Leibniz algebra, Jordan block, lower central series, nilpotency index, nil-index. 
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     author = {K. K. Masutova and B. A. Omirov and A. Kh. Khudojberdyjev},
     title = {Naturally {Graded} {Leibniz} {Algebras} with {Characteristic} {Sequence} $(n-m, m)$},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2013},
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K. K. Masutova; B. A. Omirov; A. Kh. Khudojberdyjev. Naturally Graded Leibniz Algebras with Characteristic Sequence $(n-m, m)$. Matematičeskie zametki, Tome 93 (2013) no. 5, pp. 746-763. http://geodesic.mathdoc.fr/item/MZM_2013_93_5_a9/