On Filiform and 2-Filiform Leibniz Algebras of Maximum Length

Leibniz algebras appear as a generalization of Lie algebras. The
\nclassification of naturally graded p-filiform Lie algebras is known. Several authors
\nhave studied the naturally graded p-filiform Leibniz algebras for any p
\nwith p > 0.
\nG´omez, Jim´enez-Merch´an and Reyes have investigated families of nilpotent Lie algebras with
\nother types of non-natural gradation, a gradation with a large number of subspaces. The
\nalgebras with maximum number of subspaces in the gradation will be called maximum length
\nalgebras.
\nIn this work we deal with the classification of filiform and 2-filiform Leibniz algebras of
\nmaximum length.

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