{"paper":{"title":"Schur-Weyl duality for Deligne categories II: the limit case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Inna Entova-Aizenbud","submitted_at":"2015-04-07T08:42:15Z","abstract_excerpt":"This paper is a continuation of a previous paper of the author, which gave an analogue to the classical Schur-Weyl duality in the setting of Deligne categories.\n  Given a finite-dimensional unital vector space $V$ (a vector space $V$ with a chosen non-zero vector $\\mathbf{1}$), we constructed a complex tensor power of $V$: an $Ind$-object of the Deligne category $\\underline{Rep}(S_t)$ which is a Harish-Chandra module for the pair $(\\mathfrak{gl}(V), \\bar{\\mathfrak{P}}_{\\mathbf{1}})$, where $\\bar{\\mathfrak{P}}_{\\mathbf{1}} \\subset GL(V)$ is the mirabolic subgroup preserving the vector $\\mathbf{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01519","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"}