A rich information can be found in the literature on Weyl modules for
, but
the most important contributions to this topic mainly enlighten the algebraic side of
the matter. In this paper we try a more geometric approach. In particular, our
approach enables us to obtain a sufficient condition for a module as above to be
uniserial and a geometric description of its composition series when our condition is
satisfied. Our result can be applied to a number of cases. For instance, it implies that
the module hosting the Grassmann embedding of the dual polar space associated to
is
uniserial.
