Comptes Rendus
Number Theory and Reductive Group Theory
On non-admissible irreducible modulo p representations of GL 2 ( p 2 )
Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 627-632.

We use a Diamond diagram attached to a 2-dimensional reducible split mod p Galois representation of Gal( p ¯/ p 2 ) to construct a non-admissible smooth irreducible mod p representation of GL 2 ( p 2 ) following the approach of Daniel Le.

Nous utilisons un diagramme de Diamond attaché à une représentation galoisienne mod p semi-simple réductible de dimension 2 de Gal( p ¯/ p 2 ) pour construire une représentation mod p non-admissible irréductible lisse de GL 2 ( p 2 ) en suivant l’approche de Daniel Le.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.85
Classification: 22E50, 11S37

Eknath Ghate 1; Mihir Sheth 1

1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai - 400005, India
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Eknath Ghate; Mihir Sheth. On non-admissible irreducible modulo $p$ representations of $\protect \mathrm{GL}_{2}(\protect \mathbb{Q}_{p^{2}})$. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 627-632. doi : 10.5802/crmath.85. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.85/

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