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

Mi Chael M. Schein

doi:10.1090/S0002-9947-2011-05478-4

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

Mi Chael M. Schein

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

Let F be a totally ramified extension of Q^p. We consider supersingular representations of GL²(F) whose socles as GL²(O^F)-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 language	English
Pages (from-to)	6269-6289
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9947-2011-05478-4
State	Published - Jul 2011

Keywords

Galois representations
Mod p local langlands correspondence
Supersingular representations

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

Access to Document

10.1090/S0002-9947-2011-05478-4

Cite this

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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.",

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