What is the domain of a WeylGroup

[Michel VAN DEN BERGH]

Hi all,

I am trying to do a calculation with a Weyl group acting on its standard weight representation. However when I do 

sage: G=WeylGroup("E6")                                                                                                                      
sage: dim(G.domain())                                                                                                                        

the result is 8. So the domain is on the 6 dimensional weight representation, as I expected.

Unfortunately there appears to be no documentation on this. Hence my question here.

Can we work in some way with the weight representation of a Weyl group?

Kind regards,

Michel