  Let V be the space of 2x2x2 complex hypermatrices, endowed with the natural
group action of GL=GL(2,C)^3. The category of GL-equivariant coherent D-modules
on V is equivalent to the category of representations of a quiver with
relations. In this article, we give a construction of each simple object and
study their GL-equivariant structure. Using this information, we go on to
explicitly describe the corresponding quiver with relations. As an application,
we compute all iterations of local cohomology with support in the orbit
closures of V.
