In this article we consider representations of SL2 which are interpretable in nite Morley rank theories, meaning that inside a universe of nite Morley rank we shall study the following de nable objects: a group G isomorphic to SL2, an abelian group V , and an action of G on V ; V is thus a de nable G-module on which G acts de nably. Our goal will be to identify V with a standard Gmodule, under ...