Sur quelques représentations supersingulières de GL2(Qpf)

Fix a prime number p⩾5, an integer f⩾1 and let Qpf be the unramified extension of Qp of degree f. By C. Breuil and V. Paškūnas (2007) [5], to a generic semi-simple continuous representation , we can associate a parameterized family of smooth admissible representations of GL2(Qpf) with coefficients in . In this article, we prove that there are more parameters than those known.