Combinatorics of $\phi$-deformed stuffle Hopf algebras
Résumé
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 and in emphasizing the Lie elements as studied by Ree. In particular, we will give an effective construction of pair of bases in duality.
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