  For the exterior algebra E over a vector space, we consider general maps E^a
-> E(1)^b and general symmetric and skew-symmetric maps E^a -> E(1)^a and
describe the associated exterior algebra resolutions.
  Using the theory of homogeneous bundles on homogeneous varieties we also
describe the exterior algebra resolutions of much wider classes of maps E^a ->
E(r)^b.
