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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

2 votes
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Iwasawa Decomposition for Matrices [closed]

I was asked to prove that if $$ T_{n}^{+}(\mathbb{R}) \subseteq M_{n}(\mathbb{R})$$ denotes the set of upper triangular matrices with positive diagonal entries, then prove that the multiplication ma …