Local Jacquet-Langlands corespondence and congruences modulo \(\ell\)

DOI10.1007/s00222-016-0696-yzbMath1412.22035arXiv1507.04119OpenAlexW1843228998MaRDI QIDQ2356922

Alberto Mínguez, Vincent Sécherre

Publication date: 7 June 2017

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04119

zbMATH Keywords

congruencemodular representationsJacquet-Langlands correspondenceSpeh representations$\ell$-adic representations

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 (6)

The inertial Jacquet-Langlands correspondence ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case ⋮ Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution ⋮ Supercuspidal representations of $\mathrm{GL}_{n}(F)$ distinguished by a unitary involution

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