{"paper":{"title":"Monoidal categories of modules over quantum affine algebras of type A and B","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Se-Jin Oh","submitted_at":"2017-10-18T09:02:31Z","abstract_excerpt":"We construct an exact tensor functor from the category $\\mathcal{A}$ of finite-dimensional graded modules over the quiver Hecke algebra of type $A_\\infty$ to the category $\\mathscr C_{B^{(1)}_n}$ of finite-dimensional integrable modules over the quantum affine algebra of type $B^{(1)}_n$. It factors through the category $\\mathcal T_{2n}$, which is a localization of $\\mathcal{A}$. As a result, this functor induces a ring isomorphism from the Grothendieck ring of $\\mathcal T_{2n}$ (ignoring the gradings) to the Grothendieck ring of a subcategory $\\mathscr C^{0}_{B^{(1)}_n}$ of $\\mathscr C_{B^{(1"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06627","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"}