Classification of 4-dimensional nilpotent complex Leibniz algebras
Rings and Algebras
2007-05-23 v1
Abstract
The Leibniz algebras appeared as a generalization of the Lie algebras. In this work we deal with the classification of nilpotent complex Leibniz algebras of low dimensions. Namely, the classification of nilpotent complex Leibniz algebras dimensions less than 3 is extended to the dimension four. {\it AMS Subject Classifications}: 16D70, 17A30, 17A60, 17B30 {\it Key words:} Leibniz algebra, associative algebra, nilpotence, nulfiliform Leibniz algebra, filiform Leibniz algebra.
Cite
@article{arxiv.math/0611831,
title = {Classification of 4-dimensional nilpotent complex Leibniz algebras},
author = {S. Albeverio and B. A. Omirov and I. S. Rakhimov},
journal= {arXiv preprint arXiv:math/0611831},
year = {2007}
}
Comments
9 pages