  In this paper we derive formulas for the Monge-Amp\`ere measures of functions
of the form $\log|\Phi|_c$, where $\Phi$ is a holomorphic map on a complex
manifold $X$ of dimension $n$ with values in $\mathbb{C}^{n+1}\setminus\{0\}$
and $|\cdot|_c$ is the Lie norm on $\mathbb{C}^{n+1}$.
