{"paper":{"title":"Symetries of modules of differential operators on $S^{1|1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Imen Safi, Khaled Tounsi","submitted_at":"2013-06-01T12:56:45Z","abstract_excerpt":"Let $\\frak F_{\\l}$ be the space of tensor densities of degree $\\lambda$ on the supercircle $S^{1|1}$. We consider the space $\\mathfrak{D}_{\\lambda,\\mu}^k$ of k-th order linear differential operators from $\\frak F_{\\l}$ to $\\frak F_{\\mu}$ as $\\mathfrak{osp}(1|2)$-module and we determine the space $\\mathfrak{I}_{\\lambda,\\mu}^k$ of linear maps on $\\mathfrak{D}_{\\lambda,\\mu}^k$ commuting with the $\\mathfrak{osp}(1|2)$-action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0104","kind":"arxiv","version":3},"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"}