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

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 102 / 4 / d / Solution

{c}
{title2=$V(\omega_1)=\mathbb C^3,\quad V(\omega_2)=\Lambda^2\mathbb C^3$}

The two fundamental representations of $\mathfrak{sl}_3$ are the defining representation $V(\omega_1)=\mathbb C^3$ and its dual
$$
V(\omega_2)=\Lambda^2\mathbb C^3\cong(\mathbb C^3)^*.
$$


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 Incoming links: Fundamental representations of sl3