{"paper":{"title":"Braid group approach to the derivation of universal \\v{R} matrices","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Feng Pan, Lianrong Dai (Liaoning Normal Univ.)","submitted_at":"1997-12-13T03:46:06Z","abstract_excerpt":"A new method for deriving universal \\v{R} matrices from braid group representation is discussed. In this case, universal \\v{R} operators can be defined and expressed in terms of products of braid group generators. The advantage of this method is that matrix elements of \\v{R} are rank independent, and leaves multiplicity problem concerning coproducts of the corresponding quantum groups untouched. As examples, \\v{R} matrix elements of $[1]\\times\n [1]$, $[2]\\times [2]$, $[1^{2}]\\times [1^{2}]$, and $[21]\\times [21]$ with multiplicity two for $A_{n}$, and $[1]\\times [1]$ for $B_{n}$,\n $C_{n}$, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9712038","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":""},"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"}