A Lie group is a group (in the sense of abstract algebra) that is also a differentiable manifold, such that the group operations (addition and inversion) are smooth, and so we can study them with differential calculus. They are a special type of topological group. Consider using with the ...

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Why is this not an inconsistency in elementary Lie theory?

I made an observation last week, and it has bothered me ever since. Recall the formulae ...