A classification of Breuil modules

Abstract

Let p be a prime number and f a positive integer with f < p. In this paper, we determine the structure of simple Breuil modules of type circle plus(n)(i=1) omega(ki)(f) corresponding to n-dimensional irreducible representations of G(Qp). We also describe the extensions of those simple Breuil modules if they correspond to mod p reductions of strongly divisible modules that correspond to Galois stable lattices in potentially semistable representations of G(Qp) with Hodge-Tate weights {0, 1, ... , n - 1} and Galois type circle plus(n)(i=1) omega(similar to ki)(f).