{"paper":{"title":"R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA"],"primary_cat":"nlin.SI","authors_text":"Alexander N. Manashov, Sergey E. Derkachov","submitted_at":"2006-12-02T15:20:24Z","abstract_excerpt":"The problem of constructing the $SL(N,\\mathbb{C})$ invariant solutions to the Yang-Baxter equation is considered. The solutions ($\\mathcal{R}$-operators) for arbitrarily principal series representations of $SL(N,\\mathbb{C})$ are obtained in an explicit form. We construct the commutative family of the operators $\\mathcal{Q}_k(u)$ which can be identified with the Baxter operators for the noncompact $SL(N,\\mathbb{C})$ spin magnet."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0612003","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0612003/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"}