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

Published 19 Sep 2006 in cs.OH, math-ph, and math.MP | (0609107v2)

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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