Geodesic
Isometry Classes of Generalized Associahedra
Séminaire lotharingien de combinatoire, 61A (2009-2011) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

Voir la notice de l'acte

Let W be a finite Coxeter group. Generalized associahedra are convex polytopes constructed from a permutahedron of W and an orientation of the Coxeter graph of W. They play a fundamental role in the theory of finite type cluster algebras initiated by Fomin and Zelevinsky, and also appear in algebraic topology. In this article, we show that the isometries of these polytopes are given by certain automorphisms of oriented Coxeter graphs. 

@article{SLC_2009-2011_61A_a0,
     author = {Nantel Bergeron and Christophe Hohlweg and Carsten Lange and Hugh Thomas},
     title = {Isometry {Classes} of {Generalized} {Associahedra}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2009-2011},
     volume = {61A},
     url = {http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a0/}
}
TY  - JOUR
AU  - Nantel Bergeron
AU  - Christophe Hohlweg
AU  - Carsten Lange
AU  - Hugh Thomas
TI  - Isometry Classes of Generalized Associahedra
JO  - Séminaire lotharingien de combinatoire
PY  - 2009-2011
VL  - 61A
UR  - http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a0/
ID  - SLC_2009-2011_61A_a0
ER  - 
%0 Journal Article
%A Nantel Bergeron
%A Christophe Hohlweg
%A Carsten Lange
%A Hugh Thomas
%T Isometry Classes of Generalized Associahedra
%J Séminaire lotharingien de combinatoire
%D 2009-2011
%V 61A
%U http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a0/
%F SLC_2009-2011_61A_a0
Nantel Bergeron; Christophe Hohlweg; Carsten Lange; Hugh Thomas. Isometry Classes of Generalized Associahedra. Séminaire lotharingien de combinatoire, 61A (2009-2011). http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a0/