Mathematics – Representation Theory
Scientific paper
2009-04-26
Mathematics
Representation Theory
47 pages in French; v3 final version
Scientific paper
Let $p$ be a prime number and $F$ a local field with residual characteristic
$p$. In this article, to an irreducible smooth representation of $GL_2(F)$ over
$\bar{\mathbf{F}}_p$ with central character, we associate canonically a diagram
which determines the original representation up to isomorphism. We also
determine it in some cases.
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