The Galois representations associated to a Drinfeld module in special characteristic—I: Zariski density Original Research Article

Let phi be a Drinfeld A-module of rank r over a finitely generated field K. Assume that phi has special characteristic image and consider any prime image of A. If EndKsep(phi)=A, we prove that the image of Gal(Ksep/K) in its representation on the image-adic Tate module of phi is Zariski dense in GLr.