{"paper":{"title":"Integrable Systems Related to Deformed $\\mathfrak{so}(5)$","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Alina Dobrogowska, Anatol Odzijewicz","submitted_at":"2013-11-04T12:44:25Z","abstract_excerpt":"We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces $\\mathcal{L}_+(5)$ dual to Lie algebras $\\mathfrak{so}_{\\lambda, \\alpha}(5)$ being two-parameter deformations of $\\mathfrak{so}(5)$. We integrate corresponding Hamiltonian equations on $\\mathcal{L}_+(5)$ and $T^*\\mathbb{R}^5$ by quadratures as well as discuss their possible physical interpretation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0679","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"}