{"paper":{"title":"Representation theory of projective Clifford groups via isocategoricality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"C\\'esar Galindo","submitted_at":"2026-06-19T21:10:05Z","abstract_excerpt":"The representation theory of the projective Clifford group $C(A)$, attached to a finite abelian group $A$, is closely related to the symplectic action on $V_A=A\\oplus\\widehat A$. We make this relation precise by constructing an explicit tensor isomorphism between the representation category of $C(A)$ and the representation category of the affine symplectic group $\\operatorname{ASp}(A)=\\operatorname{Sp}(V_A)\\ltimes\\widehat{V_A}$. Thus $C(A)$ and $\\operatorname{ASp}(A)$ are isocategorical, although they need not be isomorphic. The isomorphism transfers the little-group method from $\\operatorname"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21751","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.21751/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"}