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ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

Infinitesimal Deformations of the Model Z3-Filiform Lie Algebra

Rosa Maria Navarro

Departamento de Matem´aticas, Universidad de Extremadura, 10071 C´aceres, Spain Address correspondence to Rosa Mar´ıa Navarro, [email protected]

Received Date: 22 January 2013; Accepted Date: 30 January 2013

Copyright: © 2013 Rosa Mar´ıa Navarro. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this work, it is considered that the vector space is composed by the infinitesimal deformations of the model Z3-filiform Lie algebra Ln,m,p. By using these deformations, all the Z3-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.
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