{"paper":{"title":"Representations of the N=1 Heisenberg-Virasoro superalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haibo Chen, Yucai Su, Ziqi Hong","submitted_at":"2025-08-12T08:30:27Z","abstract_excerpt":"We first define a class of non-weight modules over the N=1 Heisenberg-Virasoro superalgebra $\\mathfrak{g}$, which are reducible modules.\n  Then we give all submodules of such modules, and present the corresponding irreducible quotient modules which were exactly studied in \\cite{DL}. Also, we prove that those modules constitute a complete classification of $U(\\mathfrak{h})$-free modules of rank $2$ over $\\mathfrak{g}$, where $\\mathfrak{h}=\\C L_{0}\\oplus\\C H_{0}$ is the degree-0 part of $\\mathfrak{g}$. As an application, we obtain a class of weight $\\mathfrak{g}$-modules from those non-weight $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.08738","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/2508.08738/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"}