Iwahori-Hecke model for mod \(p\) representations of \(\mathrm{GL}(2,F)\)

DOI10.2140/PJM.2021.315.255OpenAlexW4206469271MaRDI QIDQ2077132

U. K. Anandavardhanan, Arindam Jana

Publication date: 24 February 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11458

zbMATH Keywords

modular representationssupersingular representationsIwahori-Hecke model

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

The pro-p-Iwahori invariants of the universal quotient representation for GL2(F)

Cites Work

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• Irreducible modular representations of GL\(_ 2\) of a local field
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• A note on presentations of supersingular representations of \(\mathrm{GL}_2(F)\)
• On the presentation of supersingular representations of \(\mathrm{GL}_2(F)\)
• Invariant elements for $p$-modular representations of ${\mathbf {GL}}_{2}({\mathbf {Q}}_p)$
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• 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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