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Artículo
Classification of filiform Lie algebras up to dimension 7 over finite fields
(Ovidius University, 2016)
This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie ...
Artículo
Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields
(Springer, 2016)
Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has been developed for distinct types of algebras. Nevertheless, there barely exists any result on the ...
Ponencia
Low-dimensional filiform Lie algebras over finite fields
(World Scientific and Engineering Academy and Society Press, 2011)
In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some ...