Subgroups of \(\mathrm{GL}_2\) and trees.

DOI10.1016/j.jalgebra.2014.02.005zbMath1305.20058OpenAlexW59214118MaRDI QIDQ403131

Gaëtan Chenevier, Joël Bellaïche

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.02.005

zbMATH Keywords

fixed pointsrepresentationsBruhat-Tits theoryBruhat-Tits trees

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) Linear algebraic groups over local fields and their integers (20G25) Groups acting on trees (20E08)

Related Items (5)

Stable lattices in modular Galois representations and Hida deformation ⋮ Reductions of Galois representations of slope 1 ⋮ On Ribet's lemma for \(\mathrm{GL}_2\) modulo prime powers ⋮ Geometry of the eigencurve at critical Eisenstein series of weight 2 ⋮ Lifting and automorphy of reducible mod \(p\) Galois representations over global fields

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• Representations on a complete discrete valuation ring.
• A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
• On residually reducible representations on local rings
• On a lemma of Ribet.

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