Diagrammes canoniques et représentations modulo p de GL2(F)

DOI10.1017/S1474748010000265zbMath1232.22012arXiv0904.3991OpenAlexW2963757886MaRDI QIDQ3112410

Yongquan Hu

Publication date: 9 January 2012

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3991

zbMATH Keywords

supersingular representations

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (11)

Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ The category of finitely presented smooth mod \(p\) representations of \(\mathrm{GL}_2(F)\) ⋮ On some representations of the Iwahori subgroup ⋮ Factorisation de la cohomologie étale p-adique de la tour de Drinfeld ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Internal structure of representations modulo \(p\) of \(\mathrm{SL}_2(\mathbb Q_p)\) ⋮ On the exactness of ordinary parts over a local field of characteristic \(p\) ⋮ A note on integral structures in some locally algebraic representations of \(\mathrm{GL}_2\) ⋮ A note on presentations of supersingular representations of \(\mathrm{GL}_2(F)\) ⋮ Invariant elements for $p$-modular representations of ${\mathbf {GL}}_{2}({\mathbf {Q}}_p)$ ⋮ Iwasawa modules and \(p\)-modular representations of GL2

Cites Work

• Unnamed Item
• On some supersingular representations of \(\mathrm{GL}_2 (\mathbb Q_{p^f})\)
• A criterion for integral structures and coefficient systems on the tree of \(\mathrm{PGL}(2,F)\)
• Irreducible modular representations of GL\(_ 2\) of a local field
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• On the restriction of representations of GL₂(F) to a Borel subgroup

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