{"paper":{"title":"Simple Deformed Witt Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Chunguang Xia, Guang'ai Song","submitted_at":"2014-02-05T09:16:16Z","abstract_excerpt":"For any factorization domain $\\cal A$ and an algebra endomorphism $\\sigma$ of $\\cal A$, there exists a non-associative algebra $({\\cal A},\\sigma,[\\cdot,\\cdot])$ with multiplication satisfying skew-symmetry and generalized (twisted) Jacobi identities, called a $\\sigma$-deformed Witt algebra. In this paper, we obtain the necessary and sufficient conditions for the algebra $({\\cal A},\\sigma,[\\cdot,\\cdot])$ to be simple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0980","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"}