 We assume, for simplicity of notation, that the action of "G" on "V" is a faithful representation.We can then identify "G" with its image in GL("V"), although in practice it is sometimes convenient to let "G" be a covering group.Although prehomogeneous vector spaces do not necessarily decompose into direct sums of irreducibles, it is natural to study the irreducible PVS (i.e., when "V" is an irreducible representation of "G").