Westatethenotionofdi?erentialcalculusbasedonderivationforLiealge- bras.Wealsoconstructgradeddi?erentialalgebraandinvestigatedi?erentialcalculus basedonderivationforsemi-simpleLiealgebra sl(n,C). So,weprovidethenotionof matrixgeometryofaLiealgebrainnoncommutativedi?erentialgeometry.
