The classification of non-characteristically nilpotent filiform Leibniz algebras
Rings and Algebras
2012-05-10 v1
Abstract
In this paper we investigate the derivations of filiform Leibniz algebras. Recall that the set of filiform Leibniz algebras of fixed dimension is decomposed into three non-intersected families. We found sufficient conditions under which filiform Leibniz algebras of the first family are characteristically nilpotent. Moreover, for the first family we classify non-characteristically nilpotent algebras by means of Catalan numbers. In addition, for the rest two families of filiform Leibniz algebras we describe non-characteristically nilpotent algebras, i.e., those filiform Leibniz algebras which lie in the complementary set to those characteristically nilpotent.
Keywords
Cite
@article{arxiv.1205.2055,
title = {The classification of non-characteristically nilpotent filiform Leibniz algebras},
author = {A. Kh. Khudoyberdiyev and M. Ladra and B. A. Omirov},
journal= {arXiv preprint arXiv:1205.2055},
year = {2012}
}