These calculations are done ala Anderson (see previous post). Up until the 2’s appear I have verified the calculations ala Fullton-Harris. To find polytopes inside specified region I don’t have to calculate the full crystal, only the paths of the crystal that lie in the polytope (I meant to mark the paths, just connect the blue dots — red dots arise from reflections.)
Besides being stunningly faster, with this method we easily see that any tensor product of irreps will have infinitely many direct summands.
