Aufgaben:Problem 4

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Check out the document Lie-Gruppen, Bsp. 3.2 for part a) here: [1]. Just be careful, he writes \(\mathfrak{sl} (2, \mathbf{R}) = \{ A \in \mathbf{R}^{d \times d} : \mathrm{Tr}(A) = 1 \} \) while the trace should be zero. Just a typo.