{"paper":{"title":"Conformally equivariant quantization and symbol maps associated with $n$-ary differential operators on weighted densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jamel Boujelben, Khaled Tounsi, Taher Bichr","submitted_at":"2019-04-30T17:34:28Z","abstract_excerpt":"We are interested in the study of the space of $n$-ary differential operators denoted by $\\mathfrak{D}_{\\underline{\\l},\\mu}$ where $\\underline{\\l}=(\\l_{1},...,\\l_{n})$ acting on weighted densities from $\\frak F_{\\l_1}\\otimes\\frak F_{\\l_2}\\otimes...\\otimes\\frak F_{\\l_n}$ to $\\frak F_{\\mu}$ as a module over the orthosymplectic superalgebra $\\mathfrak{osp}(1|2)$. As a consequence, we prove the existence and the uniqueness of a canonical conformally equivariant symbol map from $\\mathfrak{D}_{\\underline{\\lambda},\\mu}^k$ to the corresponding space of symbols as well for the explicit expression of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00294","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"}