A Three Parameter Hopf Deformation of the Algebra of Feynman-like Diagrams

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dc.creatorDuchamp, Gérard Henry Edmond
dc.creatorBlasiak, Pawel
dc.creatorHorzela, Andrzej
dc.creatorPenson, Karol A.
dc.creatorSolomon, Allan I.
dc.date2007-04-19
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:03Z
dc.date.available2026-07-07T08:27:03Z
dc.descriptionWe construct a three-parameter deformation of the Hopf algebra $\LDIAG$. This is the algebra that appears in an expansion in terms of Feynman-like diagrams of the {\em product formula} in a simplified version of Quantum Field Theory. This new algebra is a true Hopf deformation which reduces to $\LDIAG$ for some parameter values and to the algebra of Matrix Quasi-Symmetric Functions ($\MQS$) for others, and thus relates $\LDIAG$ to other Hopf algebras of contemporary physics. Moreover, there is an onto linear mapping preserving products from our algebra to the algebra of Euler-Zagier sums.
dc.identifierhttps://arxiv.org/abs/0704.2522
dc.identifierhttp://arxiv.org/abs/0704.2522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137147
dc.subjectMathematical Physics
dc.titleA Three Parameter Hopf Deformation of the Algebra of Feynman-like Diagrams
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