{"paper":{"title":"Faithful Representations of Minimal Dimension of 6-dimensional nilpotent Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.RA"],"primary_cat":"math.RT","authors_text":"Nadina Elizabeth Rojas","submitted_at":"2012-11-12T03:16:04Z","abstract_excerpt":"The main goal of this paper is to compute $\\mu(\\g)$ and $\\mu_{nil}(\\g)$ for each nilpotent Lie algebra $\\g$ of dimension 6 over a field of characteristic zero $\\k$. Here $\\mu(\\g)$ and $\\mu_{nil}(\\g)$ is the minimal dimension of a faithful representation of $\\g$ and the minimal dimension of a faithful nilrepresentation of $\\g$, respectively. We also give a minimal faithful representation and nilrepresentation for each nilpotent Lie algebra of dimension $\\leq 6$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2503","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"}