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

Allan I. Solomon (LPTMC); Andrzej Horzela (LPTMC); G\'erard Henry Edmond Duchamp (LIPN); Karol A. Penson (LPTMC); Pawel Blasiak (LPTMC)

arxiv: cs/0609107 · v2 · pith:RNWTY26Cnew · submitted 2006-09-19 · 💻 cs.OH · math-ph· math.MP

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

G\'erard Henry Edmond Duchamp (LIPN) , Allan I. Solomon (LPTMC) , Pawel Blasiak (LPTMC) , Karol A. Penson (LPTMC) , Andrzej Horzela (LPTMC) This is my paper

classification 💻 cs.OH math-phmath.MP

keywords algebrahopfmathbfdeformationldiagotheralgebrasconstruct

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)