  In math.RT/0302174 we developed a framework to study representations of
groups of the form $G((t))$, where $G$ is an algebraic group over a local field
$K$. The main feature of this theory is that natural representations of groups
of this kind are not on vector spaces, but rather on pro-vector spaces.
  In this paper we present some further constructions related to this theory.
The main results include: 1) General theorems insuring representability of
covariant functors, 2) Study of the functor of semi-invariants, which is an
analog of the functor of semi-infinite cohomology for infinite-dimensional Lie
algebras, 3) Construction of representations from the moduli space of
$G$-bundles on algebraic curve over $K$.
