{"paper":{"title":"Moduli spaces of graded representations of finite dimensional algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"B. Huisgen-Zimmermann, E. Babson, R. Thomas","submitted_at":"2014-07-10T00:46:48Z","abstract_excerpt":"Let $\\Lambda$ be a basic finite dimensional algebra over an algebraically closed field, presented as a path algebra modulo relations; further, assume that $\\Lambda$ is graded by lengths of paths. The paper addresses the classifiability, via moduli spaces, of classes of graded $\\Lambda$-modules with fixed dimension $d$ and fixed top $T$. It is shown that such moduli spaces exist far more frequently than they do for ungraded modules. In the local case (i.e., when $T$ is simple), the graded $d$-dimensional $\\Lambda$-modules with top $T$ always possess a fine moduli space which classifies these mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2659","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"}