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Article Dans Une Revue Journal of Algebra Année : 2011

Explicit description of irreducible GL2(Qp)-representations over Fp

Résumé

Let p be an odd prime number. The classification of irreducible representations of GL2 (Qp ) over Fp is known thanks to the works of Barthel-Livné and Breuil. In the present paper we illustrate an exhaustive description of such irreducible representations, through the study of certain functions on the Bruhat-Tits tree of GL2 (Qp ). In particular, we are able to detect the socle filtration for the KZ-restriction of supersingular representations, principal series and special series.
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Dates et versions

hal-00576943 , version 1 (15-03-2011)
hal-00576943 , version 2 (07-03-2013)

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Stefano Morra. Explicit description of irreducible GL2(Qp)-representations over Fp. Journal of Algebra, 2011, 339 (1), pp.252-303. ⟨10.1016/j.jalgebra.2011.02.043⟩. ⟨hal-00576943v2⟩
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