  Let (V,(.,.)) be a pseudo-Euclidean vector space and S an irreducible
Cl(V)-module. An extended translation algebra is a graded Lie algebra m =
m_{-2}+m_{-1} = V+S with bracket given by ([s,t],v) = b(v.s,t) for some
nondegenerate so(V)-invariant reflexive bilinear form b on S. An extended
Poincar\'e structure on a manifold M is a regular distribution D of depth 2
whose Levi form L_x: D_x\wedge D_x\rightarrow T_xM/D_x at any point x\in M is
identifiable with the bracket [.,.]: S\wedge S\rightarrow V of a fixed extended
translation algebra m. The classification of the standard maximally homogeneous
manifolds with an extended Poincar\'e structure is given, in terms of Tanaka
prolongations of extended translation algebras and of appropriate gradations of
real simple Lie algebras.
