{"paper":{"title":"A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cs.OH","authors_text":"Allan I. Solomon (LPTMC), Andrzej Horzela (LPTMC), G\\'erard Henry Edmond Duchamp (LIPN), Karol A. Penson (LPTMC), Pawel Blasiak (LPTMC)","submitted_at":"2006-09-19T09:08:45Z","abstract_excerpt":"We construct a three parameter deformation of the Hopf algebra $\\mathbf{LDIAG}$. This new algebra is a true Hopf deformation which reduces to $\\mathbf{LDIAG}$ on one hand and to $\\mathbf{MQSym}$ on the other, relating $\\mathbf{LDIAG}$ to other Hopf algebras of interest in contemporary physics. Further, its product law reproduces that of the algebra of polyzeta functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0609107","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"}