{"paper":{"title":"W-graph ideals and biideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Robert B. Howlett, Van Minh Nguyen","submitted_at":"2015-03-02T03:53:41Z","abstract_excerpt":"We further develop the theory of $W\\!$-graph ideals, first introduced by the authors in reference [6]. We discuss $W\\!$-graph subideals, and induction and restriction of $W\\!$-graph ideals for parabolic subgroups. We introduce $W\\!$-graph biideals: those $W\\!$-graph ideals that yield $(W\\times W^{\\mathrm o})$-graphs, where $W^{\\mathrm o}$ is the group opposite to $W$. We determine all $W\\!$-graph ideals and biideals in finite Coxeter groups of rank 2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00408","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"}