{"paper":{"title":"Meromorphic tensor equivalence for Yangians and quantum loop algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Sachin Gautam, Valerio Toledano-Laredo","submitted_at":"2014-03-20T19:54:43Z","abstract_excerpt":"Let ${\\mathfrak g}$ be a complex semisimple Lie algebra, and $Y_h({\\mathfrak g})$, $U_q(L{\\mathfrak g})$ the corresponding Yangian and quantum loop algebra, with deformation parameters related by $q=\\exp(\\pi i h)$. When $h$ is not a rational number, we constructed in arXiv:1310.7318 a faithful functor $\\Gamma$ from the category of finite-dimensional representations of $Y_h ({\\mathfrak g})$ to those of $U_q(L{\\mathfrak g})$. The functor $\\Gamma$ is governed by the additive difference equations defined by the commuting fields of the Yangian, and restricts to an equivalence on a subcategory of $Y"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5251","kind":"arxiv","version":6},"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"}