Solution (source code)

= Solution

For $\mathfrak{sl}_3(\mathbb C)$ there are two fundamental weights. The corresponding <Fundamental representations of sl3> are
$$
\boxed{V(\omega_1)=\mathbb C^3,\qquad
V(\omega_2)=\Lambda^2\mathbb C^3\cong(\mathbb C^3)^*}.
$$