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Aug 26, 2011 at 21:30 comment added Jim Humphreys Maybe it's worth pointing out that Weyl's conceptually elegant character formula is almost never useful for actual computations of weight multiplicities. Algorithms for weight multiplicities are typically based on some variant of Freudenthal's formula, which doesn't require working simultaneously with all elements of the Weyl group. (Still, it's a problem to track down easily usable software, since people tend to develop systems and then move on to other things.)
Aug 26, 2011 at 14:56 vote accept Jianrong Li
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