{"paper":{"title":"Whittaker modules for the twisted affine Nappi-Witten Lie algebra $\\widehat{H}_{4}[\\tau]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Cuipo Jiang, Xue Chen","submitted_at":"2019-05-18T15:13:32Z","abstract_excerpt":"The Whittaker module $M_{\\psi}$ and its quotient Whittaker module $L_{\\psi, \\xi}$ for the twisted affine Nappi-Witten Lie algebra $\\widehat{H}_{4}[\\tau]$ are studied. For nonsingular type, it is proved that if $\\xi\\neq 0$, then $L_{\\psi,\\xi}$ is irreducible and any irreducible Whittaker $\\widehat{H}_{4}[\\tau]$-module of type $\\psi$ with ${\\bf k}$ acting as a non-zero scalar $\\xi$ is isomorphic to $L_{\\psi,\\xi}$. Furthermore, for $\\xi=0$, all Whittaker vectors of $L_{\\psi, 0}$ are completely determined. For singular type, the Whittaker vectors of $L_{\\psi, \\xi}$ with $\\xi \\neq 0$ are fully char"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07603","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"}