We present the classification of a subclass of naturally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence (n − 3, 3). For this purpose we use the software Mathematica.
A pfiliform Lie algebra g is a nilpotent Lie algebra for which Goze's invariant is (np, 1,. . . , I ) . These Lie algebras are well known for p 2 n -4, n = dirn(g). In this paper we describe the pfiliform Lie algebras, for p = n -5 and we give their classification when the derived subalgebra is maximal.
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