{"paper":{"title":"Centrally generated primitive ideals of $U(\\mathfrak{n})$ in types $B$ and $D$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Mikhail V. Ignatyev","submitted_at":"2017-09-26T08:42:34Z","abstract_excerpt":"We study the centrally generated primitive ideals of $U(\\mathfrak{n})$, where $\\mathfrak{n}$ is the (locally) nilpotent radical of a (splitting) Borel subalgebra of a simple complex Lie algebra $\\mathfrak{g}=\\mathfrak{o}_{2n+1}(\\mathbb{C})$, $\\mathfrak{o}_{2n}(\\mathbb{C})$, $\\mathfrak{o}_{\\infty}(\\mathbb{C})$. In the infinite-dimensional setting, there are infinitely many isomorphism classes of Lie algebras $\\mathfrak{n}$, and we fix $\\mathfrak{n}$ with \"largest possible\" center of $U(\\mathfrak{n})$. We characterize the centrally generated primitive ideals of $U(\\mathfrak{n})$ in terms of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09543","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"}