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In this paper, a formal distribution Lie algebra of $LW(a,b)$ is constructed. Then the associated conformal algebra $CLW(a,b)$ is studied, where $CLW(a,b)$ has a $\\C[\\partial]$-basis $\\{L_i,I_j\\,|\\,i,j\\in\\Z\\}$ with $\\lambda$-brackets $[L_i\\, {}_\\lambda \\, L_j]=(\\partial+2\\lambda) L_{i+j}, [L_i\\, {}_\\lambda \\, I_j]=(\\part"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1603.00147","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-03-01T05:27:49Z","cross_cats_sorted":[],"title_canon_sha256":"bbbbef26ef1b10976ce175fec12937173d537a4e8e44bf7163ab82920baacd4b","abstract_canon_sha256":"142a1c89241d88845da40f29c27b127a5d2da10cb38f81351bc9a4677fadaa0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:13.845784Z","signature_b64":"3dBx/gexZZa3URfira+hwede/mvonkvZfBlRJdl3xWe1FAYsnXskbyzAUdtrMhfDMFgoFn9i2f4Sc+etyTWcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f752fcb37aad23de906c229392b963ea96b23dd5537e4c42a071a7b721b932b","last_reissued_at":"2026-05-18T01:15:13.845177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:13.845177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop W(a,b) Lie conformal algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bo Yu, Guangzhe Fan, Henan Wu","submitted_at":"2016-03-01T05:27:49Z","abstract_excerpt":"Fix $a,b\\in\\C$, let $LW(a,b)$ be the loop $W(a,b)$ Lie algebra over $\\C$ with basis $\\{L_{\\a,i},I_{\\b,j} \\mid \\a,\\b,i,j\\in\\Z\\}$ and relations $[L_{\\a,i},L_{\\b,j}]=(\\a-\\b)L_{\\a+\\b,i+j}, [L_{\\a,i},I_{\\b,j}]=-(a+b\\a+\\b)I_{\\a+\\b,i+j},[I_{\\a,i},I_{\\b,j}]=0$, where $\\a,\\b,i,j\\in\\Z$. 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