Séminaire lotharingien de combinatoire, Tome 68 (2012-2013)
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Gérard H. E. Duchamp; Nguyen Hoang-Nghia; Adrian Tanasa. A Word Hopf Algebra Based on the Selection/Quotient Principle. Séminaire lotharingien de combinatoire, Tome 68 (2012-2013). http://geodesic.mathdoc.fr/item/SLC_2012-2013_68_a2/
@article{SLC_2012-2013_68_a2,
author = {G\'erard H. E. Duchamp and Nguyen Hoang-Nghia and Adrian Tanasa},
title = {A {Word} {Hopf} {Algebra} {Based} on the {Selection/Quotient} {Principle}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2012-2013},
volume = {68},
url = {http://geodesic.mathdoc.fr/item/SLC_2012-2013_68_a2/}
}
TY - JOUR
AU - Gérard H. E. Duchamp
AU - Nguyen Hoang-Nghia
AU - Adrian Tanasa
TI - A Word Hopf Algebra Based on the Selection/Quotient Principle
JO - Séminaire lotharingien de combinatoire
PY - 2012-2013
VL - 68
UR - http://geodesic.mathdoc.fr/item/SLC_2012-2013_68_a2/
ID - SLC_2012-2013_68_a2
ER -
%0 Journal Article
%A Gérard H. E. Duchamp
%A Nguyen Hoang-Nghia
%A Adrian Tanasa
%T A Word Hopf Algebra Based on the Selection/Quotient Principle
%J Séminaire lotharingien de combinatoire
%D 2012-2013
%V 68
%U http://geodesic.mathdoc.fr/item/SLC_2012-2013_68_a2/
%F SLC_2012-2013_68_a2
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.
