3-filiform Leibniz algebras of maximum length
This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- liform Leibniz algebras of maximum length [4]. Moreover, due to the good structure of the algebras of maximum length, we also tackle some of their cohomological properties. Our ma...
| Authors: | , , , |
|---|---|
| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/89934 |
| Online Access: | https://hdl.handle.net/11441/89934 https://doi.org/10.1134/S0037446616010043 |
| Access Level: | Open access |
| Keyword: | Lie algebra Leibniz algebra Nilpotency Natural gradation Characteristic sequence P-filiform algebra Maximum length Cohomology |
| Summary: | This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- liform Leibniz algebras of maximum length [4]. 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 [3], the construction of appropriate homogeneous basis in the considered connected gradation and the computational support provided by the two programs implemented in the software Mathematica. |
|---|