Leibniz algebras associated with representations of filiform Lie   algebras
  In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra $n_{n,1}.$ We introduce a Fock module for the algebra $n_{n,1}$ and provide classification of Leibniz algebras $L$ whose corresponding Lie algebra $L/I$ is the algebra $n_{n,1}$ with condition that the ideal $I$ is a Fock $n_{n,1}$-module, where $I$ is the ideal generated by squares of elements from $L$. 
Sh.A. Ayupov, L.M. Camacho, A.Kh. Khudoyberdiyev, B.A. Omirov
math.RA