{"paper":{"title":"A rigidity result for extensions of braided tensor C*-categories derived from compact matrix quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Claudia Pinzari, John E. Roberts","submitted_at":"2010-07-26T15:03:51Z","abstract_excerpt":"Let G be a classical compact Lie group and G_\\mu the associated compact matrix quantum group deformed by a positive parameter \\mu (or a nonzero and real \\mu in the type A case). It is well known that the category Rep(G_\\mu) of unitary f.d. representations of G_\\mu is a braided tensor C*-category. We show that any braided tensor *-functor from Rep(G_\\mu) to another braided tensor C*-category with irreducible tensor unit is full if |\\mu|\\neq 1. In particular, the functor of restriction to the representation category of a proper compact quantum subgroup, cannot be made into a braided functor. Our"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4480","kind":"arxiv","version":3},"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"}