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Apr 26, 2011 at 21:07 comment added ARupinski I usually just run it through LiE since it is able to calculate the decomposition of the symmetric and exterior squares into irreducibles.
Apr 26, 2011 at 20:58 comment added Noah Snyder I had so much trouble finding this info a couple years ago. But I managed to find the answer for E7 somewhere on John Baez's site.
Apr 26, 2011 at 20:40 history answered ARupinski CC BY-SA 3.0