A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
<|reference_start|>A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams: 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.<|reference_end|>
@article{duchamp2006a,
    title={A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams},
    author={G'erard Henry Edmond Duchamp (LIPN), Allan I. Solomon (LPTMC), Pawel
  Blasiak (LPTMC), Karol A. Penson (LPTMC), Andrzej Horzela (LPTMC)},
    journal={arXiv preprint arXiv:cs/0609107},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0609107},
    primaryClass={cs.OH math-ph math.MP}
}