{"paper":{"title":"Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frantisek Marko","submitted_at":"2016-08-31T18:45:51Z","abstract_excerpt":"Let $G=GL(m|n)$ be the general linear supergroup over an algebraically closed field $K$ of characteristic zero and let $G_{ev}=GL(m)\\times GL(n)$ be its even subsupergroup. The induced supermodule $H^0_G(\\lambda)$, corresponding to a dominant weight $\\lambda$ of $G$, can be represented as $H^0_{G_{ev}}(\\lambda)\\otimes \\Lambda(Y)$, where $Y=V_m^*\\otimes V_n$ is a tensor product of the dual of the natural $GL(m)$-module $V_m$ and the natural $GL(n)$-module $V_n$, and $\\Lambda(Y)$ is the exterior algebra of $Y$. For a dominant weight $\\lambda$ of $G$, we construct explicit $G_{ev}$-primitive vect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08989","kind":"arxiv","version":2},"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"}