Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers

Abstract

Let [Formula: see text] be a finite extension of [Formula: see text]. The construction of Lubin–Tate [Formula: see text]-modules attached to [Formula: see text]-adic representations of [Formula: see text] depends on the choice of a uniformizer of [Formula: see text]. In this paper, we give a description of a functor that relates the categories of overconvergent Lubin–Tate [Formula: see text]-modules for different uniformizers. Further, we study this functor more explicitly for two-dimensional trianguline representations.