{"paper":{"title":"Intertwining of simple characters in GL(n)","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":"2011-07-11T09:54:17Z","abstract_excerpt":"Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \\text{\\rm GL}_n(F)$. Let $\\theta_1$, $\\theta_2$ be simple characters in $G$. We show that $\\theta_1$ intertwines with $\\theta_2$ if and only if $\\theta_1$ is endo-equivalent to $\\theta_2$. We also show that any simple character in $G$ is a $G$-type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1981","kind":"arxiv","version":1},"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"}