{"paper":{"title":"On the centers of cyclotomic quiver Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jun Hu","submitted_at":"2017-07-09T07:09:56Z","abstract_excerpt":"Let $n\\in\\mathbb{N}$ and $K$ be any field. For any symmetric generalized Cartan matrix $A$, any $\\beta$ in the positive root lattice with height $n$ and any integral dominant weight $\\Lambda$, one can associate a quiver Hecke algebras $R_{\\beta}(K)$ and its cyclotomic quotient $R_{\\beta}^{\\Lambda}(K)$ over $K$. It has been conjectured that the natural map from $R_{\\beta}(K)$ to $R_{\\beta}^{\\Lambda}(K)$ maps the center of $R_{\\beta}(K)$ surjectively onto the center of $R_{\\beta}^{\\Lambda}(K)$. A similar conjecture claims that the center of the affine Hecke algebra of type $A$ maps surjectively "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02534","kind":"arxiv","version":3},"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"}