Homogenous vector bundles on abelian varieties which are rigid analytic tori

We give a caracterization of homogeneous vector bundles on an abelian variety (over a complete non archimedean valued field) which is an analytic torus, as the jacobians of the Mumford-curves for instance. Homogeneous vector bundles are stable under the action induced by the low on A. We prove that they are coming from the representations of the fundamental group of A, more precisely, that they are exactly those vector bundles which are constructed with the φ-bounded representations