{"paper":{"title":"F_q[M_2], F_q[GL_2] and F_q[SL_2] as quantized hyperalgebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Fabio Gavarini, Zoran Rakic","submitted_at":"2004-11-19T16:51:23Z","abstract_excerpt":"Let U_q(sl_2) be the standard Drinfeld-Jimbo quantized universal enveloping algebra over sl_2, let F_q[SL_2] be the corresponding quantum function algebra, and let R be the ring of Laurent polynomials in q with coefficients in the ring of integers. Let \\Cal{U}_q(sl_2) be the unrestricted R-integer form of U_q(sl_2) introduced by De Concini, Kac and Procesi. Within the quantum function algebra F_q[SL_2], we study the subset \\Cal{F}_q[SL_2] of all elements which give values in the ring R when paired with \\Cal{U}_q(sl_2).\n  In this paper we describe \\Cal{F}_q[SL_2]. In particular we provide a pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411440","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"}