Resumen de Triangular Configurations and Strictly Upper-Triangular Matrices Lie Algebras

Manuel Ceballos González , Juan Núñez-Valdés , Ángel Francisco Tenorio Villalón

• This paper shows how to associate the Lie algebra gn (n 2 N), of n×n strictly upper-triangular matrices, with a specific 2-dimensional triangular configuration. The properties of those configurations are analyzed here by using Graph Theory and, finally, applied to obtain some results about Representation Theory for nilpotent Lie algebras.