  For a connected reductive group $G$ over a finite field, we study automorphic
vector bundles on the stack of $G$-zips. In particular, we give a formula in
the general case for the space of global sections of an automorphic vector
bundle in terms of the Brylinski--Kostant filtration. Moreover, we give an
equivalence of categories between the category of automorphic vector bundles on
the stack of $G$-zips and a category of admissible modules with actions of a
zero-dimensional algebraic subgroup a Levi subgroup and monodromy operators.
