Question: simplification of expressions involving wedge product of differentialgeometry package

Let us say that we have a code shown below:

restart:
with(DifferentialGeometry):
DGsetup([x,y],M):
e[1]:=A*ExteriorDerivative(x);
e[2]:=A*ExteriorDerivative(y);
simplify(e[1] &wedge e[1]+e[1] &wedge e[2]);

the output of this code is


                             e[1] := A dx

                             e[2] := A dy


                                             2
                        0 dx ^ dy + A  dx ^ dy

 

We would like to simplify the                     

                                              2
                        0 dx ^ dy + A  dx ^ dy

expression to have just

                           2
                         A  dx ^ dy
 

Please Wait...