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Dec 23, 2013 at 5:05 comment added Allen Knutson Specifically, the inequalities on $X$ are all of the form $\langle \xi - w\cdot X, \omega \rangle \geq 0$, where $w\in W$ and $\omega$ varies over the fundamental weights.
Dec 22, 2013 at 21:28 vote accept James Mracek
Dec 22, 2013 at 18:59 comment added Allen Knutson Oh, I was late posting this. I didn't realize you only wanted facets of the polytope, which is easier.
Dec 22, 2013 at 18:55 history answered Allen Knutson CC BY-SA 3.0