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
waldspur@math.jussieu.fr
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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