Journal of Generalized Lie Theory and Applications

Infinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra

Rosa María Navarro

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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.

Article information

J. Gen. Lie Theory Appl., Volume 7 (2013), 11 pages.

First available in Project Euclid: 23 July 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 17B30: Solvable, nilpotent (super)algebras 17B70: Graded Lie (super)algebras 17B75: Color Lie (super)algebras 17B56: Cohomology of Lie (super)algebras


Navarro, Rosa María. Infinitesimal Deformations of the Model ${\mathbb{Z}_3}$-Filiform Lie Algebra. J. Gen. Lie Theory Appl. 7 (2013), 11 pages. doi:10.4303/jglta/235699.

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