On classification of complex filiform Leibniz algebras
Rings and Algebras
2012-07-13 v2 Category Theory
Abstract
In this paper we prove that in classifying of complex filiform Leibniz algebras, for which its naturally graded algebra is non-Lie algebra, it suffices to consider some special basis transformations. Moreover, we establish a criterion whether given two such Leibniz algebras are isomorphic in terms of such transformations. The classification problem of filiform Leibniz algebras, for which its naturally graded algebras are non-Lie in an arbitrary dimension, is reduced to the investigation of the obtained conditions.
Cite
@article{arxiv.math/0612735,
title = {On classification of complex filiform Leibniz algebras},
author = {J. R. Gómez and B. A. Omirov},
journal= {arXiv preprint arXiv:math/0612735},
year = {2012}
}
Comments
12 pages