Sur quelques représentations supersingulières de $GL_2(Q_{p^f})$

Details Sur quelques représentations supersingulières de $GL_2(Q_{p^f})$ Sur quelques représentations supersingulières de $GL_2(Q_{p^f})$

2009-09-02

arxiv.org/abs/0909.0527v3

Mathematics

Representation Theory

40 pages, in French. Final version, to appear in J. Algebra.

Scientific paper

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 GL_2(Q_{p^f}). In this article, we prove that there are more parameters than those known.

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