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I'm wondering if there is a reference that lists the first couple smallest dimensional irreducible representations of each semi-simple Lie algebra. I know these can be found using the Weyl dimension formula, but it would be handy if this is already written down somewhere.

Thanks!

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Not exactly an answer, but www-math.univ-poitiers.fr/~maavl/LiE/form.html should answer any specific question (if you experiment a bit; "Dimension of a module" is your friend). – Hauke Reddmann Jan 21 '14 at 15:51

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