I am using the LieArt which you can download freely online https://arxiv.org/pdf/1206.6379.pdf

There are three different 8 dimensional $\mathrm{SO}(8)$ irreducible representations, formally it is written as 8$_v$, 8$_s$, 8$_c$. See p.26 of https://arxiv.org/pdf/1206.6379.pdf

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Question: What will we call out of these three different 8 dimensional $\mathrm{SO}(8)$ irreducible representations through Mathematica? Are they represented by these?

Irrep[SO8][IrrepPrime[8, 0]]

Irrep[SO8][IrrepPrime[8, 1]]

Irrep[SO8][IrrepPrime[8, 2]]

but they seem not work?


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