3-filiform Leibniz algebras of maximum length

L. M. Camacho; E. M. Cañete; J. R. Gómez; B. A. Omirov

doi:10.1134/S0037446616010043

3-filiform Leibniz algebras of maximum length

Authors: Camacho L.M.¹, Cañete E.M.¹, Gómez J.R.¹, Omirov B.A.²
Affiliations:
1. University of Seville
2. Institute of Mathematics
Issue: Vol 57, No 1 (2016)
Pages: 24-35
Section: Article
URL: https://journals.rcsi.science/0037-4466/article/view/170320
DOI: https://doi.org/10.1134/S0037446616010043
ID: 170320

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Abstract

We complete the description of 3-filiform Leibniz algebras of maximum length. Moreover, using the good structure of algebras of maximum length, we study some of their cohomological properties. Our main tools are the previous results by Cabezas and Pastor [1], the construction of an appropriate homogeneous basis in the considered connected gradation and the computational support provided by two programs implemented in Mathematica.