{"paper":{"title":"Projective and anomalous representations of categories and their linearizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.CT","authors_text":"Chetan Vuppulury, Domenico Fiorenza","submitted_at":"2025-06-02T10:35:19Z","abstract_excerpt":"We invesigate the relation between projective and anomalous representations of categories, and show how to any anomaly $J\\colon \\mathcal{C}\\to 2\\mathrm{Vect}$ one can associate an extension $\\mathcal{C}^J$ of $\\mathcal{C}$ and a subcategory $\\mathcal{C}^J_{\\mathrm{ST}}$ of $\\mathcal{C}^J$ with the property that: (i) anomalous representations of $\\mathcal{C}$ with anomaly $J$ are equivalent to $\\mathrm{Vect}$-linear functors $E\\colon \\mathcal{C}^J\\to \\mathrm{Vect}$, and (ii) these are in turn equivalent to linear representations of $\\mathcal{C}^J_{\\mathrm{ST}}$ where \"$J$ acts as scalars\". This"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01521","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/2506.01521/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"}