{"paper":{"title":"Universal $R$--matrices for non-standard (1+1) quantum groups","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"A. Ballesteros, E. Celeghini, F.J. Herranz, M.A. del Olmo, M. Santander","submitted_at":"1995-01-27T18:48:10Z","abstract_excerpt":"A universal quasitriangular $R$--matrix for the non-standard quantum (1+1) Poincar\\'e algebra $U_ziso(1,1)$ is deduced by imposing analyticity in the deformation parameter $z$. A family $g_\\mu$ of ``quantum graded contractions\" of the algebra $U_ziso(1,1)\\oplus U_{-z}iso(1,1)$ is obtained; this set of quantum algebras contains as Hopf subalgebras with two primitive translations quantum analogues of the two dimensional Euclidean, Poincar\\'e and Galilei algebras enlarged with dilations. Universal $R$--matrices\n for these quantum Weyl algebras and their associated quantum groups are constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9501030","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"}