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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 $U(\\mathfrak{n})$. 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