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

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-102/4/d/solution