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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

Motivation for construction of associated fiber bundle from a principal bundle

I'm late, but I think the answer can be given in a simpler fashion. A principal bundle is in particular a fibre bundle, with the extra restriction that the fibre has to be a group $G$. To me, the most …
tob_asco's user avatar