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Ponencia
Some advances in the research on Lie algebras
(2008)
The main goal of this poster, which is written in the form of a survey and tries to show some aspects of the research of authors on Lie algebras, is to pay homage to the memory of Pilar Pisón Casares, who was firstly teacher ...
Artículo
Using the Evolution Operator to Classify Evolution Algebras
(MDPI, 2021-08-05)
Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications to different scientific disciplines, such as Physics or Engineering, for instance. This paper ...
Artículo
Dealing with the Resolubility of Evolution Algebras
(Springer, 2022)
Although since their introduction by Tian in 2004, evolution algebras have been the subject of a very deep study in the last years due to their numerous applications to other disciplines, this study is not easy since these ...
Artículo
Evolution algebras whose evolution operator is a homomorphism
(Wiley, 2021-09-30)
This article deals with the evolution operator of evolution algebras. We give a theorem that allows to characterize these algebras when this operator is a homomorphism of algebras of rank n-2 and this result in turn allows ...
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 ...
Tesis Doctoral
Artículo
Graphs associated with nilpotent Lie algebras of maximal rank
(European Mathematical Society, 2003)
In this paper, we use the graphs as a tool to study nilpotent Lie algebras. It implies to set up a link between graph theory and Lie theory. To do this, it is already known that every nilpotent Lie algebra of maximal rank ...