  The Mickelsson-Faddeev (MF) algebra can naturally be embedded in a non-Lie
algebra, which suggests that it has no Fock representations. The difficulties
are due to the inhomogeneous term in the connection's transformation law.
Omitting this term yields a ``classical MF algebra'', which has other abelian
extensions that do possess Fock modules. I explicitly construct such modules
and the intertwining action of the higher-dimensional Virasoro algebra.
