{"paper":{"title":"Structure of a class of Lie algebras of Block type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Chunguang Xia, Liji Zhou, Taijie You","submitted_at":"2011-02-25T08:05:41Z","abstract_excerpt":"Let $\\BB$ be a class of Lie algebras of Block type with basis $\\{L_{\\a,i}|\\a,i\\in\\Z, i\\geq 0\\}$ and relations $[L_{\\a,i},L_{\\b,j}]=(\\b(i+q)-\\a(j+q))L_{\\a+\\b,i+j}$, where $q$ is a positive integer. In this paper, it is shown that $\\BB$ are different from each other for distinct positive integers $q$'s. The automorphism groups, the derivation algebras and the central extensions of all $\\BB$ are also uniformly and explicitly described, which generalize some previous results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5183","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"}