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 \( \oplus _{i = 1}^n\omega _f^{{k_i}}\) corresponding to n-dimensional irreducible representations of \({G_{{{\bf{Q}}_p}}}\). 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 \({G_{{{\bf{Q}}_p}}}\) with Hodge-Tate weights {0, 1, …, n − 1} and Galois type \( \oplus _{i = 1}^n\widetilde\omega _f^{{k_i}}\).

令p为质数，f为f < p的正整数。在本文中，我们确定的类型的简单的Breuil模块结构\（\ oplus _ {i = 1} ^ N \欧米加_f ^ {{K_I}} \）对应于Ñ的维不可约表示\（{G_ { {{\ bf {Q}} _ p}}} \）。我们还描述了这些简单的Breuil模块的扩展，如果它们对应于\（{G _ {{{\ bf {Q}} _ p}}} \的潜在半稳定表示形式中对应于Galois稳定格的强可分模块的mod p约简。），Hodge-Tate权重为{0，1，…，n − 1}且伽罗瓦类型\（\ oplus _ {i = 1} ^ n \ widetilde \ omega _f ^ {{k_i}} \）。