Maple Lie Derivative - Cannot enter vector field

Question

Can someone please offer some suggestion for dealing with this error? I am going nuts with this. I followed the Maple documentation in entering this and apparently Maple doesn't think the vector field I entered is in fact a vector field.

My Code:

with(DifferentialGeometry); with(LieAlgebras);

DGSetup([x, y, z], M);

X := evalDG(-D_zx^2+D_xy+D_y*z);

              X := -D_z x  + D_x y + D_y z

alpha := evalDG(x*&w(dy, dz));

                    alpha := x dy dz

LieDerivative(X, alpha);

Error, (in DifferentialGeometry:-LieDerivative) expected 1st argument to be a vector field. Received -D_zx^2+D_xy+D_y*z

Answer 1

You used DGSetup, where you should use DGsetup (lower-case "s"). You omitted an asterisk (*) for scalar multiplication in the first two terms of your vector field.