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if I have a set of functions of the kind [itex]\{ f_t | f_t:\mathbb{R}^2 \rightarrow \mathbb{R}^2 \; ,t\in \mathbb{R} \}[/itex], wheretis a real scalar parameter. The operation I consider is the composition of functions. What should I do in order to show that it forms a Lie Group?

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# Test for Lie Group

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