{"paper":{"title":"Isomorphisms between quantum groups $U_q(\\mathfrak{sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Jie-Tai Yu, Li-Bin Li","submitted_at":"2010-01-01T21:23:14Z","abstract_excerpt":"Let $\\mathbb K$ be a field and suppose $p, q\\in\\mathbb K^*$ are not roots of unity. We prove that the two quantum groups $U_q(\\mathfrak {sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$ are isomorphic as $\\mathbb K$-algebras implies that $p=\\pm q^{\\pm 1}$ when $n$ is even. This new result answers a classical question of Jimbo."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0154","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"}