Abstract
In this work, it is considered that the vector space is 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 with those obtained by Khakimdjanov and Navarro ( J. Geom. Phys. 2011 and 2012), lead to compute the total dimension of the mentioned space of deformations.
Citation
Rosa María Navarro. "Infinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra." J. Gen. Lie Theory Appl. 7 1 - 11, 2013. https://doi.org/10.4303/jglta/235699
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