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

Construction of matryoshka nested indecomposable N-replications of  Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and  osp(2/2n) series