Séminaire Lotharingien de Combinatoire, B68c (2013), 13 pp.

Gérard H. E. Duchamp, Nguyen Hoang-Nghia and Adrian Tanasa

A Word Hopf Algebra Based on the Selection/Quotient Principle

Abstract. 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. We also compute the Hilbert series of this Hopf algebra, and we investigate its primitive elements.

Received: January 21, 2013. Accepted: September 2, 2013.

The following versions are available: