Geodesic
Algebraic Structures on Integer Posets
Séminaire lotharingien de combinatoire, 80B (2018)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We define a lattice structure and a Hopf algebra on integer posets and use them to recover relevant structures on the elements, the intervals and the faces in the permutahedron, the associahedron, the cube and more generally all permutreehedra. 

@article{SLC_2018_80B_a60,
     author = {Vincent Pilaud and Viviane Pons},
     title = {Algebraic {Structures} on {Integer} {Posets}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a60/}
}
TY  - JOUR
AU  - Vincent Pilaud
AU  - Viviane Pons
TI  - Algebraic Structures on Integer Posets
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a60/
ID  - SLC_2018_80B_a60
ER  - 
%0 Journal Article
%A Vincent Pilaud
%A Viviane Pons
%T Algebraic Structures on Integer Posets
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a60/
%F SLC_2018_80B_a60
Vincent Pilaud; Viviane Pons. Algebraic Structures on Integer Posets. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a60/