{"paper":{"title":"New Descriptions of Demazure Tableaux and Right Keys, with Applications to Convexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Matthew J. Willis","submitted_at":"2014-07-29T19:08:15Z","abstract_excerpt":"The right key of a semistandard Young tableau is a tool used to find Demazure characters for $sl_n(\\mathbb{C})$. This thesis gives methods to obtain the right and left keys by inspection of the semistandard Young tableau. Given a partition $\\lambda$ and a Weyl group element $w$, there is a semistandard Young tableau $Y_\\lambda(w)$ of shape $\\lambda$ that corresponds to $w$. The Demazure character for $\\lambda$ and $w$ is known to be the sum of the weights of all tableaux whose right key is dominated by $Y_\\lambda(w)$. The set of all such tableaux is denoted $\\mathcal{D}_\\lambda(w)$. Exploiting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7826","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"}