{"paper":{"title":"Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Se-Jin Oh, Seok-Jin Kang","submitted_at":"2014-06-03T06:36:46Z","abstract_excerpt":"Let $\\CC^0_{\\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\\g)$ and let $R^{A_\\infty}\\gmod$ denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type $A_{\\infty}$. In this paper, we investigate the relationship between the categories $\\CC^0_{A_{N-1}^{(1)}}$ and $\\CC^0_{A_{N-1}^{(2)}}$ by constructing the generalized quantum affine Schur-Weyl duality functors $\\F^{(t)}$ from $R^{A_\\infty}\\gmod$ to $\\CC^0_{A_{N-1}^{(t)}}$ $(t=1,2)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0591","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"}