Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras

In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria and characterizations of these ideals using Graph Theory.Ministerio de Ciencia e InnovaciónFondo Europeo de Desarrollo Regiona