Global Iwasawa-decomposition of SL($n$, ${\mathbb{A}}_{\mathbb{Q}}$)

Olof Ahlén

We discuss the Iwasawa-decomposition of a general matrix in SL($n$, ${\mathbb{Q}}_p$) and SL($n$, $\mathbb{R}$). For SL($n$, ${\mathbb{Q}}_p$) we define an algorithm for computing a co…