{"paper":{"title":"Multiparameter Quantum Supergroups, Deformations and Specializations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.QA","authors_text":"Fabio Gavarini, Gast\\'on Andr\\'es Garc\\'ia, Margherita Paolini","submitted_at":"2024-10-29T21:33:07Z","abstract_excerpt":"In this paper we introduce a multiparameter version of the quantum universal enveloping superalgebras introduced by Yamane in [H. Yamane, \"Quantized enveloping algebras associated to simple Lie superalgebras and their universal $R$-matrices\", Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, 15-87]. For these objects we consider:\n  - (1) their deformations by twist and by 2-cocycle (both of \"toral type\"); in particular, we prove that this family is stable under both types of deformations;\n  - (2) their semiclassical limits, which are multiparameter Lie superbialgebras;\n  - (3) the deformations by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.22549","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.22549/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"}