{"paper":{"title":"A new class of Z-graded Lie conformal algebras of infinite rank","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Guangzhe Fan, Jianzhi Han, Qiufan Chen","submitted_at":"2014-11-29T06:01:25Z","abstract_excerpt":"In this paper, a new class of $\\Z$-graded Lie conformal algebras $\\CW(a,c)$ of infinite rank is constructed.\n  The conformal derivations and one-dimensional central extensions of $\\CW(a,c)$ are completely determined. And all conformal modules of rank one over $\\CW(a,c) (a\\neq0)$ are proved to be trivial and all such nontrivial (irreducible) modules over $\\CW(0,c)$ are classified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0074","kind":"arxiv","version":5},"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"}