{"paper":{"title":"Twisting of paramodular vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Brooks Roberts, Jennifer Johnson-Leung","submitted_at":"2013-07-09T21:35:42Z","abstract_excerpt":"Let $F$ be a non-archimedean local field of characteristic zero, let $(\\pi,V)$ be an irreducible, admissible representation of $\\GSp(4,F)$ with trivial central character, and let $\\chi$ be a quadratic character of $F^\\times$ with conductor $c(\\chi)>1$. We define a twisting operator $T_\\chi$ from paramodular vectors for $\\pi$ of level $n$ to paramodular vectors for $\\chi \\otimes \\pi$ of level $\\max(n+2c(\\chi),4c(\\chi))$, and prove that this operator has properties analogous to the well-known $\\GL(2)$ twisting operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2605","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"}