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

2006/09/19 by Duchamp, Gérard Henry Edmond, Solomon, Allan I., Blasiak, Pawel +2
#FOS: Computer and information sciences #FOS: Physical sciences #Mathematical Physics (math-ph) #Other Computer Science (cs.OH)

paper · doi:10.48550/arxiv.cs/0609107

Abstract

We construct a three parameter deformation of the Hopf algebra LDIAG. This new algebra is a true Hopf deformation which reduces to LDIAG on one hand and to MQSym on the other, relating 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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