Combinatorics of $\phi$-deformed stuffle Hopf algebras

Gérard Henry Edmond Duchamp (1) , Vincel Hoang Ngoc Minh (1) , Christophe Tollu (1) , Bùi Chiên (1) , Nguyen Hoang Nghia (1)

1 LIPN - Laboratoire d'Informatique de Paris-Nord

In order to extend the Schützenberger's factorization to general perturbations, the combinatorial aspects of the Hopf algebra of the $\phi$-deformed stuffle product is developed systematically in a parallel way with those of the shuffle product.

Mots clés: Shuffle products; Stuffle products; Cartier-Quillen-Milnor-Moore; bialgebras

Domaines: Combinatoire [math.CO]; Calcul formel [cs.SC]; Automatique

Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu, Bùi Chiên, Nguyen Hoang Nghia. Combinatorics of $\phi$-deformed stuffle Hopf algebras. 2013. ⟨hal-00793118v7⟩