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Chapter of Book
El problema de la derivación en álgebras de Lie filiformes
(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 ...
Presentation
Combinatorial structures of three vertices and Lie algebras
(Computational and Mathematical Methods in Science and Engineering, 2011)
In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
Article
Application of statistical techniques for comparing Lie algebra algorithms
(International Center for Scientific Research and Studies Publication, 2012-03)
This paper is devoted to study and compare two algebraic algorithms related to the computation of Lie algebras by using statistical techniques. These techniques allow us to decide which of them is more suitable and less ...
Article
Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective
(Ovidius University, 2016)
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras ...
Article
Computational algorithm for obtaining Abelian subalgebras in Lie algebras
(World Academy of Science, Engineering and Technology, 2009)
The set of all abelian subalgebras is computationally obtained for any given finite-dimensional Lie algebra, starting from the nonzero brackets in its law. More concretely, an algorithm is described and implemented to ...
Presentation
Obtaining combinatorial structures associated with low-dimensional Leibniz algebras
(2013)
In this paper, we analyze the relation between Leibniz algebras and combinatorial structures. More concretely, we study the properties to be satisfied by (pseudo)digraphs so that they are associated with low-dimensional ...
Article
Graph operations and Lie algebras
(Taylor & Francis, 2013)
This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a ...
Presentation
Computational method for obtaining filiform Lie algebras of arbitrary dimension
(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 ...