An irreducibility criterion for supersingular $\mathbf {mod}$ $p$ representations of $\operatorname {GL}_2(F)$ for totally ramified extensions $F$ of $\mathbb {Q}_p$
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- by Michael M. Schein PDF
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Abstract:
Let $F$ be a totally ramified extension of $\mathbb {Q}_p$. We consider supersingular representations of $\mathrm {GL}_2(F)$ whose socles as $\mathrm {GL}_2(\mathcal {O}_F)$-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.References
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Additional Information
- Michael M. Schein
- Affiliation: Department of Mathematics, Bar Ilan University, Ramat Gan 52900, Israel
- Email: mschein@math.biu.ac.il
- Received by editor(s): August 14, 2009
- Received by editor(s) in revised form: September 24, 2009
- Published electronically: June 27, 2011
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 6269-6289
- MSC (2010): Primary 11S37, 11F80
- DOI: https://doi.org/10.1090/S0002-9947-2011-05478-4
- MathSciNet review: 2833554