Now showing items 1-5 of 5
Computational method for obtaining filiform Lie algebras of arbitrary dimension [Presentation]
(WSEAS Press, 2011-09)
This paper shows a new computational method to obtain filiform Lie algebras, which is based on the relation between some known invariants of these algebras and the maximal dimension of their abelian ideals. Using this ...
El problema de la derivación en álgebras de Lie filiformes [Chapter of Book]
(Universidad de La Rioja, 2010)
En este trabajo, cuyo objetivo principal es honrar la memoria de la profesora Mirian Andrés, de la Universidad de La Rioja, se introduce un procedimiento algorítmico que permite determinar si un álgebra de Lie filiforme ...
Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields [Article]
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 ...
Low-dimensional filiform Lie algebras over finite fields [Presentation]
(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 ...
Classification of filiform Lie algebras up to dimension 7 over finite fields [Article]
(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 ...