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Sep 7, 2020 at 5:14 comment added Sam Hopkins I think you need to also specify that it is ok for the convex hull to contain $0$ (although $0$ is not a weight of the representation). But this is a slightly strange way to describe the minuscule weights. More usually, you would say they are the ones for which $(Q+\lambda) \cap \mathrm{ConvHull}(W\lambda) = W\lambda$, where $Q$ is the root lattice.
Sep 11, 2019 at 12:29 history edited Jim Humphreys CC BY-SA 4.0
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Sep 11, 2019 at 1:47 history edited Jim Humphreys CC BY-SA 4.0
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Sep 10, 2019 at 23:03 history asked Jim Humphreys CC BY-SA 4.0