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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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1 Answer 1

up vote 3 down vote accepted
  • Here is what google returns first. And, that is Prof.Keith Conrad's notes on this topic.

  • 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!

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Are you on a first name basis with the authors of the book? :D –  Srivatsan Jan 28 '12 at 18:25
    
@Srivatsan Well, Both of them are professors, the first at University of Nantes and other is a professor at City Univ of NY. I don't even know them! –  user21436 Jan 28 '12 at 18:30

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