English

3-filiform Leibniz algebras of maximum length

Rings and Algebras 2013-10-25 v1

Abstract

This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classification of the 33-filiform Leibniz algebras of maximum length \cite{3-filiform}. Moreover, due to the good structure of the algebras of maximum length, we also tackle some of their cohomological properties. Our main tools are the previous result of Cabezas and Pastor \cite{Pastor}, the construction of appropriate homogeneous basis in the considered connected gradation and the computational support provided by the two programs implemented in the software \textit{Mathematica}.

Keywords

Cite

@article{arxiv.1310.6539,
  title  = {3-filiform Leibniz algebras of maximum length},
  author = {L. M. Camacho and E. M. Cañete and J. R. Gómez and B. A. Omirov},
  journal= {arXiv preprint arXiv:1310.6539},
  year   = {2013}
}

Comments

13 pages