{"paper":{"title":"Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Seok-Jin Kang","submitted_at":"2013-08-03T02:30:16Z","abstract_excerpt":"Let $\\g$ be an untwisted affine Kac-Moody algebra of type $A^{(1)}_n$ $(n \\ge 1)$ or $D^{(1)}_n$ $(n \\ge 4)$ and let $\\g_0$ be the underlying finite-dimensional simple Lie subalgebra of $\\g$. For each Dynkin quiver $Q$ of type $\\g_0$, Hernandez and Leclerc (\\cite{HL11}) introduced a tensor subcategory $\\CC_Q$ of the category of finite-dimensional integrable $\\uqpg$-modules and proved that the Grothendieck ring of $\\CC_Q$ is isomorphic to $\\C [N]$, the coordinate ring of the unipotent group $N$ associated with $\\g_0$. We apply the generalized quantum affine Schur-Weyl duality introduced in \\cit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0651","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"}