Exercise 10, § 7

Suppose that $K$ is locally compact. Let $G$ be a standard group of dimension $n$ over $K$. Let $\mu$ be a Haar measure on the additive group $K^n$. Show that $\mu|G$ is a left and right Haar measure on $G$. (Use the fact that $G$ is the inverse limit of the $G(a_\lambda)$ and Integration, Chapter VII, § 1, Proposition 7.)