  We develop the classification of weakly symmetric pseudo--riemannian
manifolds $G/H$ where $G$ is a semisimple Lie group and $H$ is a reductive
subgroup. We derive the classification from the cases where $G$ is compact, and
then we discuss the (isotropy) representation of $H$ on the tangent space of
$G/H$ and the signature of the invariant pseudo--riemannian metric. As a
consequence we obtain the classification of semisimple weakly symmetric
manifolds of Lorentz signature $(n-1,1)$ and trans--Lorentz (conformal Lorentz)
signature $(n-2,2)$.
