{"paper":{"title":"Extension of vertex operator algebra $V_{\\hat{H}_{4}}(\\ell,0)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Cuipo Jiang, Song Wang","submitted_at":"2011-04-21T11:26:27Z","abstract_excerpt":"We classify the irreducible restricted modules for the affine Nappi-Witten Lie algebra $\\hat{H}_{4}$ with some natural conditions. It turns out the representation theory of $\\hat{H}_{4}$ is quite different from the theory of representations of Heisenberg algebras. We also study the extension of the vertex operator algebra $V_{\\hat{H}_{4}}(\\ell,0)$ by the even lattice $L$. We give the structure of the extension $V_{\\hat{H}_{4}}(\\ell,0)\\otimes \\C[L]$ and its irreducible modules via irreducible representations of $V_{\\hat{H}_{4}}(\\ell,0)$ viewed as a vertex algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4232","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"}