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A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams

Gérard Henry Edmond Duchamp·Allan I. Solomon·Pawel Blasiak·Karol A. Penson·Andrzej Horzela
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Abstract

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.

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Gérard Henry Edmond Duchamp, Allan I. Solomon, Pawel Blasiak, Karol A. Penson, Andrzej Horzela. 2006-10-14. A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams. https://arxiv.org/abs/cs/0609107

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