{"paper":{"title":"A hierarchy of parametrizing varieties for representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"B. Huisgen-Zimmermann","submitted_at":"2014-07-10T01:55:48Z","abstract_excerpt":"The primary purpose is to introduce and explore projective varieties, $\\text{GRASS}_{\\bf d}(\\Lambda)$, parametrizing the full collection of those modules over a finite dimensional algebra $\\Lambda$ which have dimension vector $\\bf d$. These varieties extend the smaller varieties previously studied by the author; namely, the projective varieties encoding those modules with dimension vector $\\bf d$ which, in addition, have a preassigned top or radical layering. Each of the $\\text{GRASS}_{\\bf d}(\\Lambda)$ is again partitioned by the action of a linear algebraic group, and covered by certain repre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2675","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"}