Character of an exterior cube
= Character of an exterior cube
Newton's identities applied to the eigenvalues of $g$ give
$$
\chi_{\wedge^3V}(g)
=\frac{\chi_V(g)^3-3\chi_V(g)\chi_V(g^2)+2\chi_V(g^3)}6.
$$
= Character of an exterior cube
Newton's identities applied to the eigenvalues of $g$ give
$$
\chi_{\wedge^3V}(g)
=\frac{\chi_V(g)^3-3\chi_V(g)\chi_V(g^2)+2\chi_V(g^3)}6.
$$