{"paper":{"title":"Toroidal and level 0 U'_q(\\hat{sl_{n+1}}) actions on U_q(\\hat{gl_{n+1}}) modules","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Kei Miki","submitted_at":"1998-08-05T10:52:23Z","abstract_excerpt":"(1) Utilizing a Braid group action on a completion of U_q(\\hat{sl_{n+1}}), an algebra homomorphism from the toroidal algebra U_q(sl_{n+1,tor}) (n\\ge 2) with fixed parameter to a completion of U_q(\\hat{gl_{n+1}}) is obtained.\n  (2) The toroidal actions by Saito induces a level 0 U'_q(\\hat{sl_{n+1}}) action on level 1 integrable highest weight modules of U_q(\\hat{sl_{n+1}}). Another level 0 U'_q(\\hat{sl_{n+1}}) action is defined by Jimbo, et al., in the case n=1. Using the fact that the intertwiners of U_q(\\hat{sl_{n+1}}) modules are intertwiners of toroidal modules for an appropriate comultipli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9808023","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"}