On non-admissible irreducible modulo \(p\) representations of \(\text{GL}_2(\mathbb{Q}_{p^2})\)

DOI10.5802/crmath.85zbMath1465.11228arXiv2003.00781OpenAlexW3085152744MaRDI QIDQ2208996

Mihir Sheth, Eknath P. Ghate

Publication date: 28 October 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00781

zbMATH Keywords

\(p\)-adic fieldnon-admissible irreducible representation

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (6)

Diagrams and Mod p Representations of p-adic Groups ⋮ Non-admissible irreducible representations of 𝑝-adic 𝐺𝐿_{𝑛} in characteristic 𝑝 ⋮ A family of irreducible supersingular representations of \(\mathrm{GL}_2(F)\) for some ramified \(p\)-adic fields ⋮ The pro-p-Iwahori invariants of the universal quotient representation for GL2(F) ⋮ Towards a mod-p Lubin–Tate theory for GL2 over totally real fields ⋮ On irreducible supersingular representations of \(\mathrm{GL}2(F)\)

Cites Work

• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• On some nonadmissible smooth irreducible representations for \(\mathrm{GL}_2\)
• On the presentation of supersingular representations of \(\mathrm{GL}_2(F)\)
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• Representations of a $p$-adic group in characteristic $p$
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