{"paper":{"title":"Caract\\`eres tordus des repr\\'esentations admissibles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bertrand Lemaire","submitted_at":"2010-07-21T08:16:17Z","abstract_excerpt":"Let $F$ be a non--Archimedean locally compact field (${\\rm car}(F)\\geq 0$), ${\\bf G}$ be a connected reductive group defined over $F$, $\\theta$ be an $F$--automorphism of ${\\bf G}$, and $\\omega$ be a character of ${\\bf G}(F)$. We fix a Haar measure $dg$ on ${\\bf G}(F)$. For a smooth irreducible $(\\theta,\\omega)$--stable complex representation $\\pi$ of ${\\bf G}(F)$, that is such that $\\pi\\circ \\theta\\simeq \\pi\\otimes \\omega$, the choice of an isomorphism $A$ from $\\pi\\otimes \\omega$ to $\\pi\\circ \\theta$ defines a distribution $\\Theta_\\pi^A$, called the \\og ($A$--)twisted character of $\\pi$\\fg: "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3576","kind":"arxiv","version":3},"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"}