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Artículo
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 ...
Artículo
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 ...
Artículo
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 ...
Artículo
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 ...