  We construct a new class of finite dimensional indecomposable representations
of simple superalgebras which may explain, in a natural way, the existence of
the heavier elementary particles. In type I Lie superalgebras sl(m/n) and
osp(2/2n), one of the Dynkin weights labeling the finite dimensional
irreducible representations is continuous. Taking the derivative, we show how
to construct indecomposable representations recursively embedding N copies of
the original irreducible representation, coupled by generalized Cabibbo angles,
as observed among the three generations of leptons and quarks of the standard
model. The construction is then generalized in the appendix to quasi-reductive
Lie superalgebras.
