An irreducibility criterion for supersingular mod p representations of GL2(F) for totally ramified extensions f of Qp

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Abstract

Let F be a totally ramified extension of Qp. We consider supersingular representations of GL2(F) whose socles as GL2(OF)-modules are of a certain form that is expected to appear in the mod p local Langlands correspondence and establish a condition under which they are irreducible.

Original languageEnglish
Pages (from-to)6269-6289
Number of pages21
JournalTransactions of the American Mathematical Society
Volume363
Issue number12
DOIs
StatePublished - Jul 2011

Keywords

  • Galois representations
  • Mod p local langlands correspondence
  • Supersingular representations

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