# Iwasawa Decomposition for $SL(n,\mathbb{R})$.

Can someone please direct me to a good reference for Iwasawa decomposition of this Lie group?, I read that I need to use here orthogonalization process of Schmidt from Linear algebra, but I am not sure how to do this.

Thanks.

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• This book does the decomposition for $\operatorname{GL}(n,\mathbb R)$ and $\operatorname{GL}(n,\mathbb C)$. It has been written by Hossein and Martin and hosted at Max Planck Institute fur Mathematics, Bonn, Germany. And, this covers introductory material on Lie Group Theory!