Geodesic
On negative orbits of finite Coxeter groups.
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 17-31.

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

Summary: For a Coxeter group $W, X$ a subset of $W$ and $agr$ a positive root, we define the negative orbit of $agr$ under $X$ to be ${ w ; agr | wisinX} capPHgr ^{-}$, where $PHgr ^{-}$ is the set of negative roots. Here we investigate the sizes of such sets as $agr$ varies in the case when $W$ is a finite Coxeter group and $X$ is a conjugacy class of $W$.
Keywords: Coxeter group, root system 
@article{JAC_2004__20_1_a5,
     author = {Perkins, Sarah B. and Rowley, Peter J.},
     title = {On negative orbits of finite {Coxeter} groups.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a5/}
}
TY  - JOUR
AU  - Perkins, Sarah B.
AU  - Rowley, Peter J.
TI  - On negative orbits of finite Coxeter groups.
JO  - Journal of Algebraic Combinatorics
PY  - 2004
SP  - 17
EP  - 31
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a5/
LA  - en
ID  - JAC_2004__20_1_a5
ER  - 
%0 Journal Article
%A Perkins, Sarah B.
%A Rowley, Peter J.
%T On negative orbits of finite Coxeter groups.
%J Journal of Algebraic Combinatorics
%D 2004
%P 17-31
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a5/
%G en
%F JAC_2004__20_1_a5
Perkins, Sarah B.; Rowley, Peter J. On negative orbits of finite Coxeter groups.. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 17-31. http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a5/