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Aug 3, 2019 at 19:54 vote accept Nadia SUSY
Aug 2, 2019 at 15:10 comment added Sam Hopkins I think partially the reason is because the answer itself is complicated, at least compared to the simplicity of Schur-Weyl duality.
Aug 2, 2019 at 11:36 comment added Nadia SUSY @ Jim, Sam Thanks for the comments. Is there a reason why this problem has proved so difficult?
Aug 1, 2019 at 1:41 comment added Sam Hopkins @JimHumphreys: ah, I missed that the asker was interested specifically in exceptional types. (Though I'd then maybe point out that "fundamental representation" could be misleading... probably for $E_6$ you'd want one of the two isomorphic minuscule representations?)
Aug 1, 2019 at 1:31 comment added Jim Humphreys These are useful references for certain classical types, but the question is about the exceptional types of simple Lie algebras. Here there are limits to the knwn computational methods, but no analogue yet of Schur-Weyl theory.
Jul 31, 2019 at 14:33 history answered Sam Hopkins CC BY-SA 4.0