  We consider a class of cosmological solutions of d=4, N=2 supergravity
theories coupled to vector multiplets. The solutions result from performing a
compactification to three dimensions, where the theory reduces to a symmetric
space sigma model coupled to gravity and where the resulting equations of
motion are integrable. We describe in detail how the three-dimensional
solutions can be uplifted to four dimensions again. The four-dimensional
cosmologies are generically characterized by an algebra of translational
isometries that is of Heisenberg type. We give explicit examples of these
cosmologies for the S-T-U model and comment also on their uplift to 10
dimensions by interpreting them as solutions of a truncation of type IIB
supergravity on a K3 x T^2/Z_2 orientifold.
