Geodesic
A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups
Journal of Algebraic Combinatorics, Tome 11 (2000) no. 1, pp. 5-16.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We provide simple characterizations of short-braid avoiding and fully commutative elements in an affine Weyl group W, generalizing results of Fan and Stembridge for finite Weyl groups. Our results rely on the combinatorics of the compatible subsets of the root system of W.
Keywords: affine Weyl group, short-braid avoiding element, fully commutative element 
@article{JAC_2000__11_1_a4,
     author = {Cellini, Paola and Papi, Paolo},
     title = {A root system criterion for fully commutative and short braid-avoiding elements in affine {Weyl} groups},
     journal = {Journal of Algebraic Combinatorics},
     pages = {5--16},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2000__11_1_a4/}
}
TY  - JOUR
AU  - Cellini, Paola
AU  - Papi, Paolo
TI  - A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups
JO  - Journal of Algebraic Combinatorics
PY  - 2000
SP  - 5
EP  - 16
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2000__11_1_a4/
LA  - en
ID  - JAC_2000__11_1_a4
ER  - 
%0 Journal Article
%A Cellini, Paola
%A Papi, Paolo
%T A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups
%J Journal of Algebraic Combinatorics
%D 2000
%P 5-16
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2000__11_1_a4/
%G en
%F JAC_2000__11_1_a4
Cellini, Paola; Papi, Paolo. A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups. Journal of Algebraic Combinatorics, Tome 11 (2000) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/JAC_2000__11_1_a4/