{"paper":{"title":"l-independence for Compatible Systems of (mod l) Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Chun Yin Hui","submitted_at":"2013-05-09T03:24:43Z","abstract_excerpt":"Let K be a number field. For any system of semisimple mod l Galois representations {\\phi_l:Gal_K->GL_N(F_l)} arising from \\'etale cohomology, there exists a finite normal extension L of K such that if we denote \\phi_l(Gal_K) and \\phi_l(Gal_L) by respectively \\Gamma_l and \\gamma_l for all l, and let S_l be the F_l-semisimple subgroup of GL_N associated to \\gamma_l (or \\Gamma_l) by Nori [No87] for all sufficiently large l, then the following statements hold for all sufficiently large l:\n  A(i) The formal character of S_l->GL_N is independent of l and is equal to the formal character of the tauto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2001","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}