{"paper":{"title":"Twisting the q-deformations of compact semisimple Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Makoto Yamashita, Sergey Neshveyev","submitted_at":"2013-05-29T20:54:29Z","abstract_excerpt":"Given a compact semisimple Lie group $G$ of rank $r$, and a parameter $q>0$, we can define new associativity morphisms in Rep(Gq) using a 3-cocycle $\\Phi$ on the dual of the center of G, thus getting a new tensor category Rep(Gq)$^\\Phi$. For a class of cocycles $\\Phi$ we construct compact quantum groups $G^\\tau_q$ with representation categories Rep(Gq)$^\\Phi$. The construction depends on the choice of an r-tuple $\\tau$ of elements in the center of G. In the simplest case of G=SU(2) and $\\tau=-1$, our construction produces Woronowicz's quantum group SU_{-q}(2) out of SUq(2). More generally, for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6949","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":""},"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"}