{"paper":{"title":"Extensions of modules over a class of Lie conformal algebras $\\mathcal{W}(b)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Kaijing Ling, Lamei Yuan","submitted_at":"2018-09-13T06:34:13Z","abstract_excerpt":"Let $\\mathcal{W}(b)$ be a class of free Lie conformal algebras of rank $2$ with $\\mathbb{C}[\\partial]$-basis ${L,H}$ and relations \\begin{eqnarray*} [L_\\lambda L]=(\\partial+2\\lambda)L,\\ \\ [L_\\lambda H]=\\big(\\partial+(1-b)\\lambda\\big)H, \\ \\ [H_\\lambda H]=0, \\end{eqnarray*} where $b$ is a nonzero complex number. In this paper, we classify extensions between two finite irreducible conformal modules over the Lie conformal algebras $\\mathcal{W}(b)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04795","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"}