{"paper":{"title":"A categorification of $\\mathfrak{q}(2)$-crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Dimitar Grantcharov, Ji Hye Jung, MyungHo Kim, Seok-Jin Kang","submitted_at":"2014-07-24T05:32:45Z","abstract_excerpt":"We provide a categorification of $\\mathfrak{q}(2)$-crystals on the singular $\\mathfrak{gl}_{n}$-category ${\\mathcal O}_{n}$. Our result extends the $\\mathfrak{gl}_{2}$-crystal structure on ${\\rm Irr} ({\\mathcal O}_{n})$ defined by Bernstein-Frenkel-Khovanov. Further properties of the ${\\mathfrak q}(2)$-crystal ${\\rm Irr}({\\mathcal O}_{n})$ are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6457","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"}