{"paper":{"title":"To an effective local Langlands Corrspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Colin J. Bushnell, Guy Henniart","submitted_at":"2011-03-28T10:15:42Z","abstract_excerpt":"Let $F$ be a non-Archimedean local field. Let $\\Cal W_F$ be the Weil group of $F$ and $\\Cal P_F$ the wild inertia subgroup of $\\scr W_F$. Let $\\hat{\\Cal W}_F$ be the set of equivalence classes of irreducible smooth representations of $\\Cal W_F$. Let $\\Cal A^0_n(F)$ denote the set of equivalence classes of irreducible cuspidal representations of $\\roman{GL}_n(F)$ and set $\\hat{\\roman{GL}}_F = \\bigcup_{n\\ge1} \\Cal A^0_n(F)$. If $\\sigma\\in \\hat{\\Cal W}_F$, let $\\upr L\\sigma \\in \\hat{\\roman{GL}}_F$ be the cuspidal representation matched with $\\sigma$ by the Langlands Correspondence. If $\\sigma$ is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5316","kind":"arxiv","version":2},"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"}