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Aug 10, 2019 at 21:21 comment added Jim Humphreys @Vit: Maybe it's easier to get a unified argument by appealing to the well-known fact that reflections relative to roots in 𝐼 generate $W_I$? [misprint corrected]
Aug 9, 2019 at 22:53 comment added Sam Hopkins Right, I should've noted that the parabolic aspects of the question are irrelevant. Also, just so there is no potential for confusion: "root system" here and everywhere for this question means "crystallographic root system."
Aug 9, 2019 at 22:16 history edited Vít Tuček CC BY-SA 4.0
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Aug 9, 2019 at 22:11 history answered Vít Tuček CC BY-SA 4.0