What is the generalization of the Pauli matrices and Dirac matrices in higher dimensions? I am actually looking for $\sqrt{\mathbb{I}}$ but I can't use the principal root which is just $\mathbb{I}$. For $n=3$, I found that the Gell-Mann matrices don't work. I'm thinking that these actually are the $SU(n)$ generators. Any ideas?
2026-04-03 04:48:27.1775191707
$SU(n)$ generators
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