Sur quelques représentations supersingulières de GL₂(Q_p^f)

2009/09/02 by Hu, Yongquan
#22E50 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0909.0527

Abstract

Let p>3 be a prime, f a positive integer and Q_p^f the unramified extension of Q_p of degree f. After Breuil and Paskunas, to a generic semi-simple continue modulo p representation of the absolute Galois group of Q_p^f, we can associate a parameterized family of smooth admissible modulo p representations of GL₂(Q_p^f). In this article, we prove that there are more parameters than those known.

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