  I discuss how the factorization of the invariant trace used to define
Chern-Simons branes in a space-time with a Chern-Simons action for a space-time
group introduces new relationships between the coupling constants of the
extended objects of diverse dimensions, and an enhanced gauge invariance for a
suitable choice of these coupling constants, owing to an extension of the
Inflow mechanism. I also comment on the possible relevance of these models in
fundamental physics.
