The spectrum of different operators on manifolds was studied by many mathematicians. In general case, this problem is quite difficult. Therefore it is necessary to impose restrictions either on the class of manifolds or on their dimension. An application of analytical calculations systems is possible if the dimension is finite. In this paper, the spectrum of the curvature operator of 3- and 4-dimensional Lie groups with half conformally flat left-invariant Riemannian metrics was investigated with Maple.

Key words: symbolic computation packages, Lie algebras, curvature operator.