Geodesic
Cayley Graph Characterization of Geometric Reflections
Journal of Lie theory, Tome 31 (2021) no. 2, pp. 413-438
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We combine the covering theory of graphs introduced by Malnic, Nedela and Skoviera, the notion of a Cayley graph and the theory of reflection systems in order to obtain a new characterization of geometric reflections in the theory of extended affine Weyl groups. As an immediate byproduct, we recover that an extended affine Weyl group of nullity greater than one is not a Coxeter group, with respect to any minimal generating set.
Classification : 17B67 20F55, 05C25
Mots-clés : Extended affine Weyl groups, Cayley graphs, Coxeter groups, normalized darts, reflections 
@article{JLT_2021_31_2_JLT_2021_31_2_a6,
     author = {S. Azam and F. Parishani},
     title = {Cayley {Graph} {Characterization} of {Geometric} {Reflections}},
     journal = {Journal of Lie theory},
     pages = {413--438},
     year = {2021},
     volume = {31},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2021_31_2_JLT_2021_31_2_a6/}
}
TY  - JOUR
AU  - S. Azam
AU  - F. Parishani
TI  - Cayley Graph Characterization of Geometric Reflections
JO  - Journal of Lie theory
PY  - 2021
SP  - 413
EP  - 438
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JLT_2021_31_2_JLT_2021_31_2_a6/
ID  - JLT_2021_31_2_JLT_2021_31_2_a6
ER  - 
%0 Journal Article
%A S. Azam
%A F. Parishani
%T Cayley Graph Characterization of Geometric Reflections
%J Journal of Lie theory
%D 2021
%P 413-438
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/JLT_2021_31_2_JLT_2021_31_2_a6/
%F JLT_2021_31_2_JLT_2021_31_2_a6
S. Azam; F. Parishani. Cayley Graph Characterization of Geometric Reflections. Journal of Lie theory, Tome 31 (2021) no. 2, pp. 413-438. http://geodesic.mathdoc.fr/item/JLT_2021_31_2_JLT_2021_31_2_a6/