A selection-quotient process for packed word Hopf algebra

In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection-quotient coproduct. We show that this algebra is free on its irreducible packed words. Finally, we give some brief explanations on the Maple codes we have used.Comment: 12 pages, conference proceedings, 5th International Conference on Algebraic Informatics, September 3-6, 201