Title Combinatorial structures of three vertices and Lie algebras
Authors Caceres, J. , CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Puertas, M. L. , Tenorio, A. F.
External publication Si
Scope Article
Nature Científica
JCR Quartile 3
SJR Quartile 2
JCR Impact 0.542
SJR Impact 0.412
Publication date 01/01/2012
ISI 000307809100013
DOI 10.1080/00207160.2012.688114
Abstract This paper shows a characterization of digraphs of three vertices associated with Lie algebras, as well as determining the list of isomorphism classes for Lie algebras associated with these digraphs. Additionally, we introduce and implement two algorithmic procedures related to this study: the first is devoted to draw, if exists, the digraph associated with a given Lie algebra; whereas the other corresponds to the converse problem and allows us to test if a given digraph is associated or not with a Lie algebra. Finally, we give the complete list of all non-isomorphic combinatorial structures of three vertices associated with Lie algebras and we study the type of Lie algebra associated with each configuration.
Keywords digraph; combinatorial structure; Lie algebra; isomorphism class; algorithm
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