{"paper":{"title":"Categorification of highest weight modules over quantum generalized Kac-Moody algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, Se-Jin Oh, Seok-Jin Kang","submitted_at":"2011-06-14T08:20:16Z","abstract_excerpt":"Let $U_q(\\g)$ be a quantum generalized Kac-Moody algebra and let $V(\\Lambda)$ be the integrable highest weight $U_q(\\g)$-module with highest weight $\\Lambda$. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra $R^\\Lambda$ provides a categorification of $V(\\Lambda)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2635","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"}