Locally analytic representations of GL3 (Qp)

We construct a complex of locally analytic representations of GL(3)(Q(p)), which is associated to some semi-stable 3-dimensional representations of the absolute Galois group of Q(p). Then we show that we can retrieve the (phi, N)-filtered module of the Galois representation in the space of morphisms, in the derived category of D(GL(3)(Q(p)))-modules, of this complex in the de Rham-complex of the 2-dimensional Drinfel'd's space. For the proof, we compute some spaces of locally analytic cohomology of unipotent subgroups with coefficients in some locally analytic principal series.