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Apr 24, 2014 at 22:36 comment added Jim Humphreys @Ilia: I was probably oversimplifying the framework you work in, since I don't usually think about Lie groups directly.
Apr 15, 2014 at 9:21 comment added Ilia Smilga The Weyl group does act simply transitively on the Weyl chambers, but only on those that lie in the same Cartan subspace. I would like to show that two Weyl chambers are always disjoint, even when they lie in different Cartan subspaces. I added a comment in the original statement to clarify this.
Apr 3, 2014 at 22:26 history edited Jim Humphreys CC BY-SA 3.0
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Apr 3, 2014 at 21:03 history answered Jim Humphreys CC BY-SA 3.0