{"paper":{"title":"Whittaker supports for representations of reductive groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dmitry Gourevitch, Raul Gomez, Siddhartha Sahi","submitted_at":"2016-10-02T14:36:08Z","abstract_excerpt":"Let $F$ be either $\\mathbb{R}$ or a finite extension of $\\mathbb{Q}_p$, and let $G$ be a finite central extension of the group of $F$-points of a reductive group defined over $F$. Also let $\\pi$ be a smooth representation of $G$ (Frechet of moderate growth if $F=\\mathbb{R}$). For each nilpotent orbit $\\mathcal{O}$ we consider a certain Whittaker quotient $\\pi_{\\mathcal{O}}$ of $\\pi$. We define the Whittaker support WS$(\\pi)$ to be the set of maximal $\\mathcal{O}$ among those for which $\\pi_{\\mathcal{O}}\\neq 0$.\n  In this paper we prove that all $\\mathcal{O}\\in\\mathrm{WS}(\\pi)$ are quasi-admiss"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00284","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1610.00284/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}