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

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

2006-09-19

arxiv.org/abs/cs/0609107v2

Computer Science

Other Computer Science

5 pages

Scientific paper

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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