  In the context of almost complex quantization, a natural generalization of
algebro-geometric linear series on a compact symplectic manifold has been
proposed. Here we suppose given a compatible action of a finite group and
consider the linear subseries associated to the irreducible representations of
$G$, give conditions under which these are base-point free and study properties
of the associated projective morphisms. The results obtained are new even in
the complex projective case.
