{"paper":{"title":"G-stable support $\\tau$-tilting modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yingying Zhang, Zhaoyong Huang","submitted_at":"2016-04-02T10:44:32Z","abstract_excerpt":"Motivated by $\\tau$-tilting theory developed by Adachi, Iyama and Reiten, for a finite-dimensional algebra $\\Lambda$ with action by a finite group $G$, we introduce the notion of $G$-stable support $\\tau$-tilting modules. Then we establish bijections among $G$-stable support $\\tau$-tilting modules over $\\Lambda$, $G$-stable two-term silting complexes in the homotopy category of bounded complexes of finitely generated projective $\\Lambda$-modules, and $G$-stable functorially finite torsion classes in the category of finitely generated left $\\Lambda$-modules. In the case when $\\Lambda$ is the en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00484","kind":"arxiv","version":3},"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"}