{"paper":{"title":"Regularization of Mickelsson generators for non-exceptional quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Andrey Mudrov","submitted_at":"2015-12-29T12:36:27Z","abstract_excerpt":"Let $\\mathfrak{g}'\\subset \\mathfrak{g}$ be the pair of Lie algebras of either symplectic or orthogonal infinitesimal endomorphisms of the complex vector spaces $\\mathbb{C}^{N-2}\\subset \\mathbb{C}^N$ and $U_q(\\mathfrak{g}')\\subset U_q(\\mathfrak{g})$ the pair of quantum groups with triangular decomposition $U_q(\\mathfrak{g})=U_q(\\mathfrak{g}_-)U_q(\\mathfrak{g}_+)U_q(\\mathfrak{h})$. Let $Z_q(\\mathfrak{g},\\mathfrak{g}')$ be the corresponding step algebra and regard its generators as rational trigonometric functions $\\mathfrak{h}^*\\to U_q(\\mathfrak{g}_\\pm)$. We describe their regularization such th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08666","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"}