{"paper":{"title":"Homomorphisms from Specht Modules to Signed Young Permutation Modules","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Kai Meng Tan, Kay Jin Lim","submitted_at":"2016-06-02T05:56:01Z","abstract_excerpt":"We construct a class $\\Theta_{\\mathscr{R}}$ of homomorphisms from a Specht module $S_{\\mathbb{Z}}^{\\lambda}$ to a signed permutation module $M_{\\mathbb{Z}}(\\alpha|\\beta)$ which generalises James's construction of homomorphisms whose codomain is a Young permutation module. We show that any $\\phi \\in \\operatorname{Hom}_{{\\mathbb{Z}}\\mathfrak{S}_{n}}\\big(S_{\\mathbb{Z}}^\\lambda, M_{\\mathbb{Z}}(\\alpha|\\beta)\\big)$ lies in the $\\mathbb{Q}$-span of $\\Theta_{\\text{sstd}}$, a subset of $\\Theta_{\\mathscr{R}}$ corresponding to semistandard $\\lambda$-tableaux of type $(\\alpha|\\beta)$. We also study the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00542","kind":"arxiv","version":5},"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"}