{"paper":{"title":"Loop Heisenberg-Virasoro Lie Conformal algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Guangzhe Fan, Henan Wu, Yucai Su","submitted_at":"2014-08-28T10:52:35Z","abstract_excerpt":"Let $HV$ be the loop Heisenberg-Virasoro Lie algebra over $\\C$ with basis $\\{L_{\\a,i},H_{\\b,j}\\,|\\,\\a,\\,\\b,i,j\\in\\Z\\}$ and brackets $[L_{\\a,i},L_{\\b,j}]=(\\a-\\b)L_{\\a+\\b,i+j}, [L_{\\a,i},H_{\\b,j}]=-\\b H_{\\a+\\b,i+j},[H_{\\a,i},H_{\\b,j}]=0$. In this paper, a formal distribution Lie algebra of $HV$ is constructed. Then the associated conformal algebra $CHV$ is studied, where $CHV$ has a $\\C[\\partial]$-basis $\\{L_i,H_i\\,|\\,i\\in\\Z\\}$ with $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(\\partial+2\\lambda) L_{i+j}, [L_i\\, {}_\\lambda \\, H_j]=(\\partial+\\lambda) H_{i+j}, [H_i\\, {}_\\lambda \\, L_j]=\\lambda L_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6678","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"}