Diagrammes canoniques et representations modulo p de \GL₂(F)

2009/04/26 by Yongquan Hu, Hu, Yongquan · 1 citation
Mathematics · #22E50 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:22E50

paper · pdf · doi:10.48550/arxiv.0904.3991

47 pages in French; v3 final version

arxiv created 2010/07/02 · arxiv updated 2010/07/06

Abstract

Let p be a prime number and F a local field with residual characteristic p. In this article, to an irreducible smooth representation of GL₂(F) over 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.

Cited by

• On freeness of compactly induced mod-p representations of \rmSL₂(F)

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