{"paper":{"title":"Modules with Demazure Flags and Character Formulae","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jeffrey Wand, Lisa Schneider, Peri Shereen, Vyjayanthi Chari","submitted_at":"2013-10-19T00:57:28Z","abstract_excerpt":"In this paper we study a family of finite-dimensional graded representations of the current algebra of $\\mathfrak{sl}_2$ which are indexed by partitions.\n  We show that these representations admit a flag where the successive quotients are Demazure modules which occur in a level $\\ell$-integrable module for $A_1^1$ as long as $\\ell$ is large. We associate to each partition and to each $\\ell$ an edge-labeled directed graph which allows us to describe in a combinatorial way the graded multiplicity of a given level $\\ell$-Demazure module in the filtration. In the special case of the partition $1^s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5191","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"}