  A spin-space extension is reviewed, which provides information on the
standard model. Its defining feature is a common matrix space that describes
symmetries and representations, and leads to limits on these, for given
dimension. The model provides additional information on the standard model,
whose interpretation requires an interactive formulation. Within this program,
we compare the model's lepton-W generated interactive Lagrangian in
(5+1)-dimensions, and that of the standard model. We derive the conditions for
this matching, which apply to other Lagrangian terms. We also discuss the
advantages of this extension, as compared to others.
