Explicit description of irreducible \(\mathrm{GL}_2(\mathbb{Q}_p)\)-representations over \(\bar {\mathbf F}_{p}\)

DOI10.1016/j.jalgebra.2011.02.043zbMath1239.22012OpenAlexW166701170MaRDI QIDQ663589

Stefano Morra

Publication date: 25 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.043

zbMATH Keywords

Bruhat-Tits tree\(p\)-adic Langlands correspondencesocle filtration

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

Multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) and \(\mod p\) representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\), Multiplicity theorems modulo \(p\) for GL\(_2\)(Q\(_p\)), On the universal supersingular mod \(p\) representations of \(\mathrm{GL}_2(F)\), On some representations of the Iwahori subgroup, Internal structure of representations modulo \(p\) of \(\mathrm{SL}_2(\mathbb Q_p)\), Unnamed Item, Iwahori-Hecke model for supersingular representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\), On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton), On the automorphic atoms of length 2 of \(\mathrm{GL}_2(\mathbb{Q}_p)\), The monomial lattice in modular symmetric power representations, Invariant elements for $p$-modular representations of ${\mathbf {GL}}_{2}({\mathbf {Q}}_p)$

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