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Journal of Lie Theory 17 (2007), No. 3, 597--603
Copyright Heldermann Verlag 2007

Une Remarque sur les Systèmes de Racines

Jean-Loup Waldspurger
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013 Paris, France

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.

Keywords: Root systems, Weyl groups.

MSC: 20F55

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