{"paper":{"title":"The affine VW supercategory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Catharina Stroppel, Emily Norton, Gail Letzter, Inna Entova-Aizenbud, Iva Halacheva, Johanna Hennig, Martina Balagovic, Mee Seong Im, Vera Serganova, Zajj Daugherty","submitted_at":"2018-01-12T14:32:37Z","abstract_excerpt":"We define the affine VW supercategory $\\mathit{s}\\hspace{-0.7mm}\\bigvee\\mkern-15mu\\bigvee$, which arises from studying the action of the periplectic Lie superalgebra $\\mathfrak{p}(n)$ on the tensor product $M\\otimes V^{\\otimes a}$ of an arbitrary representation $M$ with several copies of the vector representation $V$ of $\\mathfrak{p}(n)$. It plays a role analogous to that of the degenerate affine Hecke algebras in the context of representations of the general linear group; the main obstacle was the lack of a quadratic Casimir element in $\\mathfrak{p}(n)\\otimes \\mathfrak{p}(n)$. When $M$ is the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04178","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"}