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arXiv · 1301.4047

Infinitesimal deformations of the model $\mathbb{Z}_3$-filiform Lie algebra

Rosa Navarro
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Abstract

In this work it is considered the vector space composed by the infinitesimal deformations of the model $\mathbb{Z}_3$-filiform Lie algebra $L^{n,m,p}$. By using these deformations all the $\mathbb{Z}_3$-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.

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Rosa Navarro. 2013-01-17. Infinitesimal deformations of the model $\mathbb{Z}_3$-filiform Lie algebra. https://arxiv.org/abs/1301.4047

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