Journal of Lie Theory

no. 3
Une Remarque sur les Systèmes de Racines
Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 597-603
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.
DOI: 10.5802/jolt.464
Classification: 20F55
Keywords: Root systems, Weyl groups 
@article{JOLT_2007_17_3_a9,
     author = {J.-L. Waldspurger},
     title = {Une {Remarque} sur les {Syst\`emes} de {Racines}},
     journal = {Journal of Lie Theory},
     pages = {597--603},
     year = {2007},
     volume = {17},
     number = {3},
     doi = {10.5802/jolt.464},
     zbl = {1133.20029},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.464/}
}
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J.-L. Waldspurger. Une Remarque sur les Systèmes de Racines. Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 597-603. doi: 10.5802/jolt.464

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