Naturally Graded Leibniz Algebras with Characteristic Sequence $(n-m, m)$

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 $m<4$. The present paper continues these studies for the case $m\ge4$.