We classify, up to equivalences, all abelian groups gradings on null-filiform and oneparametric filiform Leibniz algebras. ...

This work is devoted to the study of central extensions of some solvable Leibniz superalgebras. We show that a solvable ...

Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie ...

In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and ...

In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ...

We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.

In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras ...

Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many ...

The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform ...

We present the description up to isomorphism of Leibniz superal- gebras with characteristic sequence (n|m1, . . . ,mk) and nilindex n+m, where m = m1 + · · · + mk, n and m (m 6= 0) are dimensions of even and odd parts, respectively.