“…Then G is a skeletal Lie 2algebra. Therefore, we have the following equalities 0 = l 2 (l 2 (x, y), z) + l 2 (l 2 (y, z), x) + l 2 (l 2 (z, x), y), (18) 0 = l 2 (l 2 (x, y), α) + l 2 (l 2 (y, α), x) + l 2 (l 2 (α, x), y), (19) and 0 = −l 3 (l 2 (x, y), z, w) − l 3 (l 2 (y, z), x, w) − l 3 (l 2 (z, w), x, y) − l 3 (l 2 (x, w), y, z) +l 3 (l 2 (y, w), x, z) + l 3 (l 2 (x, z), y, w) + l 2 (l 3 (x, y, z), w) (20) −l 2 (l 3 (y, z, w), x) + l 2 (l 3 (x, z, w), y) − l 2 (l 3 (x, y, w), z), for all x, y, z, w ∈ g 0 , α ∈ g 1 . Now we are ready to give the main result in this section.…”