{"paper":{"title":"On the module structure of the center of hyperelliptic Krichever-Novikov algebras II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Ben Cox, Kaiming Zhao, Mee Seong Im, Xiangqian Guo","submitted_at":"2018-12-02T05:17:02Z","abstract_excerpt":"Let $R := R_{2}(p)=\\mathbb{C}[t^{\\pm 1}, u : u^2 = t(t-\\alpha_1)\\cdots (t-\\alpha_{2n})] $ be the coordinate ring of a nonsingular hyperelliptic curve and let $\\mathfrak{g}\\otimes R$ be the corresponding current Lie algebra. \\color{black} Here $\\mathfrak g$ is a finite dimensional simple Lie algebra defined over $\\mathbb C$ and \\begin{equation*} p(t)= t(t-\\alpha_1)\\cdots (t-\\alpha_{2n})=\\sum_{k=1}^{2n+1}a_kt^k. \\end{equation*} In earlier work, Cox and Im gave a generator and relations description of the universal central extension of $\\mathfrak{g}\\otimes R$ in terms of certain families of polyn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00330","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"}