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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

What are immediate applications of the classification of connected reductive groups?

Come that far, one can begin to exploit the subgroups, turn one's attention to symmetric spaces, of which there are the compact and noncompact ones, the riemannian and the hermitian ones. And one can …
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4 votes

What does this paper have to do with Hilbert's fifth question?

Your link refers to an abstract which reads as follows: We present new results concerning the following functional equation of Abel $$ ψ(xf(y)+yf(x))=ϕ(x)+ϕ(y) $$ D. Hilbert in the second part of h …
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