Caceres, J. , CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Puertas, M. L. , Tenorio, A. F.
Si
Int. J. Comput. Math.
Article
Científica
0.542
0.412
01/01/2012
000307809100013
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.
digraph; combinatorial structure; Lie algebra; isomorphism class; algorithm