Une Remarque sur les Systèmes de Racines
Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 597-603
Voir la notice de l'article provenant de la source Heldermann Verlag
We prove that, for any based root system, the closed cone generated by the positive roots is the disjoint union of the cones (1-w)(C+), for w in the Weyl group, where C+ is the open positive chamber.
Classification :
20F55
Mots-clés : Root systems, Weyl groups
Mots-clés : Root systems, Weyl groups
Affiliations des auteurs :
Jean-Loup Waldspurger  1
Jean-Loup Waldspurger. Une Remarque sur les Systèmes de Racines. Journal of Lie Theory, Tome 17 (2007) no. 3, pp. 597-603. http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a9/
@article{JOLT_2007_17_3_a9,
author = {Jean-Loup Waldspurger},
title = {Une {Remarque} sur les {Syst\`emes} de {Racines}},
journal = {Journal of Lie Theory},
pages = {597--603},
year = {2007},
volume = {17},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a9/}
}