{"paper":{"title":"New irreducible non-weight Virasoro modules from tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haibo Chen, Jianzhi Han, Yanyong Hong, Yucai Su","submitted_at":"2019-10-22T05:59:53Z","abstract_excerpt":"In this paper, we present a class of non-weight Virasoro modules $\\mathcal{M}\\big(V,\\Omega(\\lambda_0,\\alpha_0)\\big)\\otimes\\bigotimes_{i=1}^m\\Omega(\\lambda_i,\\alpha_i)$ where $\\Omega(\\lambda_i,\\alpha_i)$ and $\\mathcal{M}\\big(V,\\Omega(\\lambda_0,\\alpha_0)\\big)$ are irreducible Virasoro modules defined in \\cite{LZ2} and \\cite{LZ} respectively. The necessary and sufficient conditions for $\\mathcal{M}\\big(V,\\Omega(\\lambda_0,\\alpha_0)\\big)\\otimes\\bigotimes_{i=1}^m\\Omega(\\lambda_i,\\alpha_i)$ to be irreducible are obtained. Then we determine the necessary and sufficient conditions for two such irreduci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09780","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.09780/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}