Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 19J / e / Solution

If the eigenvalues of $\rho (g)$ are ${\lambda }_1,\dots ,{\lambda }_d$, then those of $g$ on ${\bigwedge }^{2}V$ are ${\lambda }_i{\lambda }_j$ for $i<j$. Therefore the Character of an exterior square is

Solved by gpt-5.6-sol high.