{"paper":{"title":"Large annihilator category O for sl_{\\infty}, o_{\\infty}, sp_{\\infty}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Penkov, Vera Serganova","submitted_at":"2018-09-25T10:12:01Z","abstract_excerpt":"We construct a new analogue of the BGG category $\\mathcal O$ for the infinite-dimensional Lie algebras $\\fg=\\mathfrak{sl}(\\infty),\\mathfrak{o}(\\infty), \\mathfrak{sp}(\\infty)$. A main difference with the categories studied in \\cite{Nam} and \\cite{CP} is that all objects of our category satisfy the large annihilator condition introduced in \\cite{DPS}. Despite the fact that the splitting Borel subalgebras $\\fb$ of $\\fg$ are not conjugate, one can eliminate the dependency on the choice of $\\fb$ and introduce a universal highest weight category $\\mathcal {OLA}$ of $\\fg$-modules, the letters $\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09394","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"}