Representations on a complete discrete valuation ring.

DOI10.1007/s00208-005-0644-4zbMath1178.20040OpenAlexW1980406612MaRDI QIDQ818558

Joël Bellaïche, Philippe Graftieaux

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0644-4

zbMATH Keywords

local fieldsirreducible representationsBruhat-Tits buildingslinear groupsdiscrete valuation ringsstable latticesapartmentsextensions of representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Integral representations (11S23) (p)-adic representations of finite groups (20C11) Buildings and the geometry of diagrams (51E24) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (6)

Stable lattices in modular Galois representations and Hida deformation ⋮ On the representation theory of braid groups. ⋮ Subgroups of \(\mathrm{GL}_2\) and trees. ⋮ Stable lattices in \(p\)-adic representations. III: Indecomposable reduction and holonomy ⋮ On Ribet's lemma for \(\mathrm{GL}_2\) modulo prime powers ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4676598 Formes non temp�r�es pour et conjectures de Bloch?Kato]

Cites Work

• On a lemma of Ribet.
• Characterization of characters and pseudo-characters
• Reductive groups over a local field
• [https://portal.mardi4nfdi.de/wiki/Publication:4676598 Formes non temp�r�es pour et conjectures de Bloch?Kato]
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