{"paper":{"title":"Quantization of Lie bialgebras, IV","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"David Kazhdan, Pavel Etingof","submitted_at":"1998-01-09T21:44:30Z","abstract_excerpt":"This paper is a continuation of \"Quantization of Lie bialgebras, III\" (q-alg/9610030, revised version). In QLB-III, we introduced the Hopf algebra F(R)_\\z associated to a quantum R-matrix R(z) with a spectral parameter, and a set of points \\z=(z_1,...,z_n). This algebra is generated by entries of a matrix power series T_i(u), i=1,...,n,subject to Faddeev-Reshetikhin-Takhtajan type commutation relations, and is a quantization of the group GL_N[[t]].\n  In this paper we consider the quotient F_0(R)_\\z of F(R)_\\z by the relations \\qdet_R(T_i)=1, where \\qdet_R is the quantum determinant associated "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9801043","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/math/9801043/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"}