{"paper":{"title":"Integrable representations for toroidal extended affine Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Fulin Chen, Shaobin Tan, Zhiqiang Li","submitted_at":"2017-11-06T13:42:50Z","abstract_excerpt":"Let $\\fg$ be any untwisted affine Kac-Moody algebra, $\\mu$ any fixed complex number, and $\\wt\\fg(\\mu)$ the corresponding toroidal extended affine Lie algebra of nullity two. For any $k$-tuple $\\bm{\\lambda}=({\\lambda}_1, \\cdots, {\\lambda}_k)$ of weights of $\\fg$, and $k$-tuple $\\bm{a}=(a_1,\\cdots, a_k)$ of distinct non-zero complex numbers, we construct a class of modules $\\wt V(\\bm{\\lambda},\\bm{a})$ for the extended affine Lie algebra $\\wt\\fg(\\mu)$. We prove that the $\\wt\\fg(\\mu)$-module $\\wt V(\\bm{\\lambda},\\bm{a})$ is completely reducible. We also prove that the $\\wt\\fg(\\mu)$-module $\\wt V(\\b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01887","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"}