On extensions of supersingular representations of \(\mathrm{SL}_2(\mathbb{Q}_p)\)

DOI10.1016/J.JNT.2018.11.005zbMath1477.22011arXiv1612.01469OpenAlexW2560210509MaRDI QIDQ1729751

Santosh Nadimpalli

Publication date: 28 February 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01469

zbMATH Keywords

extensionssupersingular representationsmod-\(p\) representationsrepresentation theory of \(p\)-adic groups

Mathematics Subject Classification ID

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)

Functorial properties of pro‐p‐Iwahori cohomology

Cites Work

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• The image of Colmez's Montreal functor
• Parabolic induction and extensions
• Smooth representations and Hecke modules in characteristic \(p\)
• The pro-\(p\) Iwahori Hecke algebra of a reductive \(p\)-adic group. V (parabolic induction)
• A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules
• Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations
• Pro-p-Iwahori Invariants for SL₂andL-Packets of Hecke Modules
• Blocks for mod $p$ representations of $GL_2(Q_p)$
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• Pro- Iwahori–Hecke algebras are Gorenstein
• Extensions for supersingular representations of $GL_2(Q_p)$

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