Infinitesimal deformations of the model $\mathbb{Z}_3$-filiform Lie algebra
Representation Theory
2013-01-18 v1
Abstract
In this work it is considered the vector space composed by the infinitesimal deformations of the model -filiform Lie algebra . By using these deformations all the -filiform Lie algebras can be obtained, hence the importance of these deformations. The results obtained in this work together to those obtained in [Integrable deformations of nilpotent color Lie superalgebras, J. Geom. Phys. 61(2011)1797-1808] and [Corrigendum to Integrable deformations of nilpotent color Lie superalgebras, J. Geom. Phys. 62(2012)1571], leads to compute the total dimension of the mentioned space of deformations.
Keywords
Cite
@article{arxiv.1301.4047,
title = {Infinitesimal deformations of the model $\mathbb{Z}_3$-filiform Lie algebra},
author = {Rosa Navarro},
journal= {arXiv preprint arXiv:1301.4047},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1202.5466