{"paper":{"title":"Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Avery St. Dizier, Karola M\\'esz\\'aros, Ricky Ini Liu","submitted_at":"2019-03-13T15:41:44Z","abstract_excerpt":"Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of $\\mathfrak{gl}_n(\\mathbb{C})$. The integer point transform of the Gelfand-Tsetlin polytope $\\mathrm{GT}(\\lambda)$ projects to the Schur function $s_{\\lambda}$. Schur functions form a distinguished basis of the ring of symmetric functions; they are also special cases of Schubert polynomials $\\mathfrak{S}_{w}$ corresponding to Grassmannian permutations.\n  For any permutation $w \\in S_n$ with column-convex Rothe diagram, we construct a polytope $\\mathcal{P}_{w}$ whose integer point t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05548","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"}