{"paper":{"title":"One other parameterization of SU(4) group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"math.GR","authors_text":"Arsen Khvedelidze, Astghik Torosyan, Dimitar Mladenov","submitted_at":"2024-08-27T09:03:14Z","abstract_excerpt":"We propose a special decomposition of the Lie $\\mathfrak{su}(4)$ algebra into the direct sum of orthogonal subspaces, $\\mathfrak{su}(4)=\\mathfrak{k}\\oplus\\mathfrak{a}\\oplus\\mathfrak{a}^\\prime\\oplus\\mathfrak{t}\\,,$ with $\\mathfrak{k}=\\mathfrak{su}(2)\\oplus\\mathfrak{su}(2)$ and a triplet of 3-dimensional Abelian subalgebras $(\\mathfrak{a}, \\mathfrak{a}^{\\prime}, \\mathfrak{t})\\,,$ such that the exponential mapping of a neighbourhood of the $0\\in \\mathfrak{su}(4)$ into a neighbourhood of the identity of the Lie group provides the following factorization of an element of $SU(4)$ \\[ g = k\\,a\\,t\\,, \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14888","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/2408.14888/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"}