{"paper":{"title":"Stability of the Chari-Loktev bases for local Weyl modules of $\\mathfrak{sl}_{r+1}[t]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"B. Ravinder","submitted_at":"2016-12-05T19:15:22Z","abstract_excerpt":"We prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra $\\mathfrak{sl}_{r+1}[t]$. This is conjectured in \\cite{RRV2} and the $r=1$ case is proved in \\cite{RRV1}. Local Weyl modules being known to be Demazure submodules in the level one representations of the affine Lie algebra $\\widehat{\\mathfrak{sl}_{r+1}}$, we obtain, by passage to the direct limit, bases for the level one representations themselves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01484","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"}